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10897271904 = 253436074349
BaseRepresentation
bin10100010011000011…
…10010110001100000
31001010110010202210010
422021201302301200
5134304200200104
65001154204520
7534021166011
oct121141626140
931113122703
1010897271904
114692253742
122141583740
13104886a1ac
147553ad008
1543ba4b489
hex289872c60

10897271904 has 96 divisors (see below), whose sum is σ = 29325542400. Its totient is φ = 3541289472.

The previous prime is 10897271899. The next prime is 10897271909. The reversal of 10897271904 is 40917279801.

It is an interprime number because it is at equal distance from previous prime (10897271899) and next prime (10897271909).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10897271909) by changing a digit.

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, 2503522 + ... + 2507870.

It is an arithmetic number, because the mean of its divisors is an integer number (305474400).

Almost surely, 210897271904 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 10897271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662771200).

10897271904 is an abundant number, since it is smaller than the sum of its proper divisors (18428270496).

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

10897271904 is a wasteful number, since it uses less digits than its factorization.

10897271904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 10897271904 in words is "ten billion, eight hundred ninety-seven million, two hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 607 688 1032 1214 1376 1821 2064 2428 3642 4128 4349 4856 7284 8698 9712 13047 14568 17396 19424 26094 26101 29136 34792 52188 52202 58272 69584 78303 104376 104404 139168 156606 187007 208752 208808 313212 374014 417504 417616 561021 626424 748028 835232 1122042 1252848 1496056 2244084 2505696 2639843 2992112 4488168 5279686 5984224 7919529 8976336 10559372 15839058 17952672 21118744 31678116 42237488 63356232 84474976 113513249 126712464 227026498 253424928 340539747 454052996 681079494 908105992 1362158988 1816211984 2724317976 3632423968 5448635952 10897271904