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10525631872 = 277173122291
BaseRepresentation
bin10011100110110000…
…00110010110000000
31000011112211111111111
421303120012112000
5133024030204442
64500240453104
7521556252250
oct116330062600
930145744444
1010525631872
114511499018
12205901a194
13cb9878252
1471bcab960
154190dab17
hex273606580

10525631872 has 128 divisors (see below), whose sum is σ = 26193991680. Its totient is φ = 4108492800.

The previous prime is 10525631833. The next prime is 10525631881. The reversal of 10525631872 is 27813652501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105256318722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461047 + ... + 483337.

It is an arithmetic number, because the mean of its divisors is an integer number (204640560).

Almost surely, 210525631872 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 10525631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096995840).

10525631872 is an abundant number, since it is smaller than the sum of its proper divisors (15668359808).

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

10525631872 is a wasteful number, since it uses less digits than its factorization.

10525631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 22348 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 10525631872 in words is "ten billion, five hundred twenty-five million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 272 434 448 476 496 527 544 868 896 952 992 1054 1088 1736 1904 1984 2108 2176 3472 3689 3808 3968 4216 6944 7378 7616 8432 13888 14756 15232 16864 22291 27776 29512 33728 44582 59024 67456 89164 118048 156037 178328 236096 312074 356656 378947 472192 624148 691021 713312 757894 1248296 1382042 1426624 1515788 2496592 2652629 2764084 2853248 3031576 4837147 4993184 5305258 5528168 6063152 9674294 9986368 10610516 11056336 11747357 12126304 19348588 19972736 21221032 22112672 23494714 24252608 38697176 42442064 44225344 46989428 48505216 77394352 82231499 84884128 88450688 93978856 154788704 164462998 169768256 187957712 309577408 328925996 339536512 375915424 619154816 657851992 751830848 1315703984 1503661696 2631407968 5262815936 10525631872