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11752445504 = 2647297857
BaseRepresentation
bin10101111001000000…
…00001011001000000
31010100001022002102102
422330200001121000
5143032111224004
65222103405532
7564144065342
oct127440013100
933301262372
1011752445504
114a90a49288
12233ba538a8
131153a9a287
147d6bbb292
1548bb7111e
hex2bc801640

11752445504 has 84 divisors (see below), whose sum is σ = 24101753676. Its totient is φ = 5685264384.

The previous prime is 11752445483. The next prime is 11752445561. The reversal of 11752445504 is 40554425711.

It can be written as a sum of positive squares in 2 ways, for example, as 8486094400 + 3266351104 = 92120^2 + 57152^2 .

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 11 ways as a sum of consecutive naturals, for example, 13713044 + ... + 13713900.

It is an arithmetic number, because the mean of its divisors is an integer number (286925639).

Almost surely, 211752445504 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 11752445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050876838).

11752445504 is an abundant number, since it is smaller than the sum of its proper divisors (12349308172).

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

11752445504 is an frugal number, since it uses more digits than its factorization.

11752445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The spelling of 11752445504 in words is "eleven billion, seven hundred fifty-two million, four hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 97 188 194 376 388 752 776 857 1504 1552 1714 2209 3008 3104 3428 4418 4559 6208 6856 8836 9118 13712 17672 18236 27424 35344 36472 40279 54848 70688 72944 80558 83129 141376 145888 161116 166258 214273 291776 322232 332516 428546 644464 665032 857092 1288928 1330064 1714184 1893113 2577856 2660128 3428368 3786226 3907063 5320256 6856736 7572452 7814126 13713472 15144904 15628252 30289808 31256504 60579616 62513008 121159232 125026016 183631961 250052032 367263922 734527844 1469055688 2938111376 5876222752 11752445504