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10532752056 = 233422372889
BaseRepresentation
bin10011100111100110…
…10000101010111000
31000012001020020120000
421303303100222320
5133032341031211
64501053233000
7522003625641
oct116363205270
930161206500
1010532752056
114515511572
12205b492760
13cbb19c088
1471cc026c8
15419a45656
hex273cd0ab8

10532752056 has 80 divisors (see below), whose sum is σ = 29634158400. Its totient is φ = 3495125376.

The previous prime is 10532752051. The next prime is 10532752057. The reversal of 10532752056 is 65025723501.

10532752056 is a `hidden beast` number, since 1 + 0 + 532 + 75 + 2 + 0 + 56 = 666.

10532752056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105327520562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10532752056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532752051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108060 + ... + 180948.

It is an arithmetic number, because the mean of its divisors is an integer number (370426980).

Almost surely, 210532752056 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 10532752056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817079200).

10532752056 is an abundant number, since it is smaller than the sum of its proper divisors (19101406344).

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

10532752056 is a wasteful number, since it uses less digits than its factorization.

10532752056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73130 (or 73117 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 10532752056 in words is "ten billion, five hundred thirty-two million, seven hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 324 446 648 669 892 1338 1784 2007 2676 4014 5352 6021 8028 12042 16056 18063 24084 36126 48168 72252 72889 144504 145778 218667 291556 437334 583112 656001 874668 1312002 1749336 1968003 2624004 3936006 5248008 5904009 7872012 11808018 15744024 16254247 23616036 32508494 47232072 48762741 65016988 97525482 130033976 146288223 195050964 292576446 390101928 438864669 585152892 877729338 1170305784 1316594007 1755458676 2633188014 3510917352 5266376028 10532752056