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208265485692 = 2231115711638641
BaseRepresentation
bin1100000111110110010…
…1110001110101111100
3201220120101020212022010
43001331211301311330
511403011431020232
6235401552051220
721022004263635
oct3017545616574
9656511225263
10208265485692
1180363489a10
1234443833b10
1316840867404
14a119b3688c
15563de120cc
hex307d971d7c

208265485692 has 96 divisors (see below), whose sum is σ = 534027481344. Its totient is φ = 62647603200.

The previous prime is 208265485679. The next prime is 208265485697. The reversal of 208265485692 is 296584562802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208265485697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24097692 + ... + 24106332.

It is an arithmetic number, because the mean of its divisors is an integer number (5562786264).

Almost surely, 2208265485692 is an apocalyptic number.

208265485692 is a gapful number since it is divisible by the number (22) 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 208265485692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267013740672).

208265485692 is an abundant number, since it is smaller than the sum of its proper divisors (325761995652).

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

208265485692 is a wasteful number, since it uses less digits than its factorization.

208265485692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 208265485692 in words is "two hundred eight billion, two hundred sixty-five million, four hundred eighty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1163 1727 1884 2326 3454 3489 4652 5181 6908 6978 8641 10362 12793 13956 17282 20724 25586 25923 34564 38379 51172 51846 76758 95051 103692 153516 182591 190102 285153 365182 380204 547773 570306 730364 1095546 1140612 1356637 2008501 2191092 2713274 4017002 4069911 5426548 6025503 8034004 8139822 10049483 12051006 14923007 16279644 20098966 24102012 29846014 30148449 40197932 44769021 59692028 60296898 89538042 110544313 120593796 179076084 221088626 331632939 442177252 663265878 1326531756 1577768831 3155537662 4733306493 6311075324 9466612986 17355457141 18933225972 34710914282 52066371423 69421828564 104132742846 208265485692