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10432764272 = 2471729318701
BaseRepresentation
bin10011011011101011…
…10101100101110000
3222221002002100002202
421231311311211300
5132331241424042
64443122202332
7516351014240
oct115565654560
928832070082
1010432764272
114474029237
122031ab33a8
13ca3560cc8
1470d815b20
15410d94632
hex26dd75970

10432764272 has 80 divisors (see below), whose sum is σ = 24544804032. Its totient is φ = 4193587200.

The previous prime is 10432764259. The next prime is 10432764301. The reversal of 10432764272 is 27246723401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 548522 + ... + 567222.

Almost surely, 210432764272 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 10432764272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272402016).

10432764272 is an abundant number, since it is smaller than the sum of its proper divisors (14112039760).

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

10432764272 is a wasteful number, since it uses less digits than its factorization.

10432764272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19026 (or 19020 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 10432764272 in words is "ten billion, four hundred thirty-two million, seven hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 293 476 586 952 1172 1904 2051 2344 4102 4688 4981 8204 9962 16408 18701 19924 32816 34867 37402 39848 69734 74804 79696 130907 139468 149608 261814 278936 299216 317917 523628 557872 635834 1047256 1271668 2094512 2225419 2543336 4450838 5086672 5479393 8901676 10958786 17803352 21917572 35606704 38355751 43835144 76711502 87670288 93149681 153423004 186299362 306846008 372598724 613692016 652047767 745197448 1304095534 1490394896 2608191068 5216382136 10432764272