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10208669232 = 2432373197643
BaseRepresentation
bin10011000000111101…
…11110111000110000
3222100110102010111110
421200132332320300
5131401404403412
64404555113320
7510660154026
oct114036767060
928313363443
1010208669232
114369589323
121b8aa42840
13c68cbb6a8
146cbb60716
153eb37ad3c
hex2607bee30

10208669232 has 160 divisors (see below), whose sum is σ = 28081202688. Its totient is φ = 3189086208.

The previous prime is 10208669221. The next prime is 10208669243. The reversal of 10208669232 is 23296680201.

It is a happy number.

10208669232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10208669221) and next prime (10208669243).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15876303 + ... + 15876945.

Almost surely, 210208669232 is an apocalyptic number.

10208669232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208669232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040601344).

10208669232 is an abundant number, since it is smaller than the sum of its proper divisors (17872533456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10208669232 is a wasteful number, since it uses less digits than its factorization.

10208669232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10208669232 in words is "ten billion, two hundred eight million, six hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 197 219 276 292 368 394 438 552 584 591 643 788 876 1104 1168 1182 1286 1576 1679 1752 1929 2364 2572 3152 3358 3504 3858 4531 4728 5037 5144 6716 7716 9062 9456 10074 10288 13432 13593 14381 14789 15432 18124 20148 26864 27186 28762 29578 30864 36248 40296 43143 44367 46939 54372 57524 59156 72496 80592 86286 88734 93878 108744 115048 118312 126671 140817 172572 177468 187756 217488 230096 236624 253342 281634 330763 345144 354936 375512 380013 506684 563268 661526 690288 709872 751024 760026 992289 1013368 1079597 1126536 1323052 1520052 1984578 2026736 2159194 2253072 2646104 2913433 3040104 3238791 3969156 4318388 5292208 5826866 6080208 6477582 7938312 8636776 8740299 9246983 11653732 12955164 15876624 17273552 17480598 18493966 23307464 25910328 27740949 34961196 36987932 46614928 51820656 55481898 69922392 73975864 110963796 139844784 147951728 212680609 221927592 425361218 443855184 638041827 850722436 1276083654 1701444872 2552167308 3402889744 5104334616 10208669232