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10972609596 = 223513266797
BaseRepresentation
bin10100011100000010…
…01011110000111100
31001022200220022200000
422032001023300330
5134432442001341
65012445034300
7535624433304
oct121601136074
931280808600
1010972609596
11472082aaa3
122162855990
13105b357400
147613c0604
1544347d8b6
hex28e04bc3c

10972609596 has 108 divisors (see below), whose sum is σ = 31146838632. Its totient is φ = 3376137024.

The previous prime is 10972609577. The next prime is 10972609601. The reversal of 10972609596 is 69590627901.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×109726095962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130870 + ... + 197666.

It is an arithmetic number, because the mean of its divisors is an integer number (288396654).

Almost surely, 210972609596 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 10972609596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573419316).

10972609596 is an abundant number, since it is smaller than the sum of its proper divisors (20174229036).

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

10972609596 is a wasteful number, since it uses less digits than its factorization.

10972609596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66842 (or 66815 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 10972609596 in words is "ten billion, nine hundred seventy-two million, six hundred nine thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 972 1014 1053 1404 1521 2028 2106 3042 3159 4212 4563 6084 6318 9126 12636 13689 18252 27378 41067 54756 66797 82134 133594 164268 200391 267188 400782 601173 801564 868361 1202346 1736722 1803519 2404692 2605083 3473444 3607038 5210166 5410557 7214076 7815249 10420332 10821114 11288693 15630498 16231671 21642228 22577386 23445747 31260996 32463342 33866079 45154772 46891494 64926684 67732158 70337241 93782988 101598237 135464316 140674482 203196474 211011723 281348964 304794711 406392948 422023446 609589422 844046892 914384133 1219178844 1828768266 2743152399 3657536532 5486304798 10972609596