Search a number
-
+
30957915888 = 24323129323669
BaseRepresentation
bin11100110101001111…
…000100111011110000
32221220111210001221100
4130311033010323300
51001400211302023
622115531324400
72144110641354
oct346517047360
987814701840
1030957915888
1112146a33459
125bbb8b0700
132bc4988c33
1416d975d464
15c12c95c43
hex7353c4ef0

30957915888 has 120 divisors (see below), whose sum is σ = 89743006080. Its totient is φ = 9951920640.

The previous prime is 30957915883. The next prime is 30957915899. The reversal of 30957915888 is 88851975903.

30957915888 is a `hidden beast` number, since 3 + 0 + 9 + 579 + 1 + 58 + 8 + 8 = 666.

It is a super-2 number, since 2×309579158882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30957915883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296118 + ... + 1319786.

It is an arithmetic number, because the mean of its divisors is an integer number (747858384).

Almost surely, 230957915888 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 30957915888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44871503040).

30957915888 is an abundant number, since it is smaller than the sum of its proper divisors (58785090192).

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

30957915888 is a wasteful number, since it uses less digits than its factorization.

30957915888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24007 (or 23998 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 30957915888 in words is "thirty billion, nine hundred fifty-seven million, nine hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 293 372 496 558 586 744 879 1116 1172 1488 1758 2232 2344 2637 3516 4464 4688 5274 7032 9083 10548 14064 18166 21096 23669 27249 36332 42192 47338 54498 71007 72664 81747 94676 108996 142014 145328 163494 189352 213021 217992 284028 326988 378704 426042 435984 568056 653976 733739 852084 1136112 1307952 1467478 1704168 2201217 2934956 3408336 4402434 5869912 6603651 6935017 8804868 11739824 13207302 13870034 17609736 20805051 26414604 27740068 35219472 41610102 52829208 55480136 62415153 83220204 105658416 110960272 124830306 166440408 214985527 249660612 332880816 429971054 499321224 644956581 859942108 998642448 1289913162 1719884216 1934869743 2579826324 3439768432 3869739486 5159652648 7739478972 10319305296 15478957944 30957915888