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10632561472 = 261313991939
BaseRepresentation
bin10011110011100000…
…00000001101000000
31000110000001002100001
421321300000031000
5133233413431342
64515020405344
7524325165331
oct117160001500
930400032301
1010632561472
114566892895
1220889a6854
131005a76bc0
1472c184288
154236ad8b7
hex279c00340

10632561472 has 56 divisors (see below), whose sum is σ = 22885704800. Its totient is φ = 4871978496.

The previous prime is 10632561469. The next prime is 10632561551. The reversal of 10632561472 is 27416523601.

It is a super-2 number, since 2×106325614722 (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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69679 + ... + 161617.

It is an arithmetic number, because the mean of its divisors is an integer number (408673300).

Almost surely, 210632561472 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 10632561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442852400).

10632561472 is an abundant number, since it is smaller than the sum of its proper divisors (12253143328).

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

10632561472 is a wasteful number, since it uses less digits than its factorization.

10632561472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92103 (or 92093 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10632561472 in words is "ten billion, six hundred thirty-two million, five hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 208 278 416 556 832 1112 1807 2224 3614 4448 7228 8896 14456 28912 57824 91939 115648 183878 367756 735512 1195207 1471024 2390414 2942048 4780828 5884096 9561656 12779521 19123312 25559042 38246624 51118084 76493248 102236168 166133773 204472336 332267546 408944672 664535092 817889344 1329070184 2658140368 5316280736 10632561472