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10525666368 = 263729326729
BaseRepresentation
bin10011100110110000…
…01110110001000000
31000011112220020211010
421303120032301000
5133024032310433
64500241320520
7521556454650
oct116330166100
930145806733
1010525666368
114511511a28
122059036140
13cb988ab69
1471bcba360
154190e5e63
hex27360ec40

10525666368 has 112 divisors (see below), whose sum is σ = 31937431680. Its totient is φ = 2996957184.

The previous prime is 10525666367. The next prime is 10525666381. The reversal of 10525666368 is 86366652501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105256663682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10525666367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380428 + ... + 407156.

It is an arithmetic number, because the mean of its divisors is an integer number (285155640).

Almost surely, 210525666368 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 10525666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968715840).

10525666368 is an abundant number, since it is smaller than the sum of its proper divisors (21411765312).

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

10525666368 is a wasteful number, since it uses less digits than its factorization.

10525666368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27044 (or 27034 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 10525666368 in words is "ten billion, five hundred twenty-five million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 293 336 448 586 672 879 1172 1344 1758 2051 2344 3516 4102 4688 6153 7032 8204 9376 12306 14064 16408 18752 24612 26729 28128 32816 49224 53458 56256 65632 80187 98448 106916 131264 160374 187103 196896 213832 320748 374206 393792 427664 561309 641496 748412 855328 1122618 1282992 1496824 1710656 2245236 2565984 2993648 4490472 5131968 5987296 7831597 8980944 11974592 15663194 17961888 23494791 31326388 35923776 46989582 54821179 62652776 93979164 109642358 125305552 164463537 187958328 219284716 250611104 328927074 375916656 438569432 501222208 657854148 751833312 877138864 1315708296 1503666624 1754277728 2631416592 3508555456 5262833184 10525666368