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30531252664 = 231123291493491
BaseRepresentation
bin11100011011110011…
…011111000110111000
32220210202221100000201
4130123303133012320
51000012000041124
622005330411544
72130410236303
oct343363370670
986722840021
1030531252664
1111a48107020
125b00a30bb4
132b574703a3
141698c17b3a
15bda5b7144
hex71bcdf1b8

30531252664 has 128 divisors (see below), whose sum is σ = 67884480000. Its totient is φ = 12727052800.

The previous prime is 30531252649. The next prime is 30531252671. The reversal of 30531252664 is 46625213503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8743959 + ... + 8747449.

It is an arithmetic number, because the mean of its divisors is an integer number (530347500).

Almost surely, 230531252664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30531252664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942240000).

30531252664 is an abundant number, since it is smaller than the sum of its proper divisors (37353227336).

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

30531252664 is a wasteful number, since it uses less digits than its factorization.

30531252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 30531252664 in words is "thirty billion, five hundred thirty-one million, two hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 149 184 232 253 298 319 506 596 638 667 1012 1192 1276 1334 1639 2024 2552 2668 3278 3427 3491 4321 5336 6556 6854 6982 7337 8642 13112 13708 13964 14674 17284 27416 27928 29348 34568 37697 38401 47531 58696 75394 76802 80293 95062 99383 101239 150788 153604 160586 190124 198766 202478 301576 307208 321172 380248 397532 404956 520159 642344 795064 809912 883223 1040318 1093213 1113629 1766446 2080636 2186426 2227258 2328497 3532892 4161272 4372852 4454516 4656994 5721749 7065784 8745704 8909032 9313988 11443498 11963657 15084611 18627976 22886996 23927314 25613467 30169222 45773992 47854628 51226934 60338444 95709256 102453868 120676888 131600227 165930721 204907736 263200454 331861442 346946053 526400908 663722884 693892106 1052801816 1327445768 1387784212 2775568424 3816406583 7632813166 15265626332 30531252664