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10504590272 = 2611131113903
BaseRepresentation
bin10011100100001111…
…10101001111000000
31000010002020110211222
421302013311033000
5133003133342042
64454205454212
7521212354421
oct116207651700
930102213758
1010504590272
114500627170
122051b71368
13cb53bb9b7
14719191648
154173312d2
hex2721f53c0

10504590272 has 56 divisors (see below), whose sum is σ = 22913839872. Its totient is φ = 4738323200.

The previous prime is 10504590259. The next prime is 10504590347. The reversal of 10504590272 is 27209540501.

It is a super-2 number, since 2×105045902722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35273 + ... + 149175.

It is an arithmetic number, because the mean of its divisors is an integer number (409175712).

Almost surely, 210504590272 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 10504590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456919936).

10504590272 is an abundant number, since it is smaller than the sum of its proper divisors (12409249600).

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

10504590272 is a wasteful number, since it uses less digits than its factorization.

10504590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114057 (or 114047 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 10504590272 in words is "ten billion, five hundred four million, five hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 524 704 1048 1441 2096 2882 4192 5764 8384 11528 23056 46112 92224 113903 227806 455612 911224 1252933 1822448 2505866 3644896 5011732 7289792 10023464 14921293 20046928 29842586 40093856 59685172 80187712 119370344 164134223 238740688 328268446 477481376 656536892 954962752 1313073784 2626147568 5252295136 10504590272