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75627132112 = 2471319475443
BaseRepresentation
bin100011001101110111…
…0100111010011010000
321020012120210100222001
41012123232213103100
52214341021211422
654424223523344
75315053005430
oct1063356472320
9236176710861
1075627132112
112a0895a9784
12127a7459554
1371931b161c
1439360c42c0
151e79644227
hex119bba74d0

75627132112 has 80 divisors (see below), whose sum is σ = 168947615232. Its totient is φ = 32124343680.

The previous prime is 75627132107. The next prime is 75627132131. The reversal of 75627132112 is 21123172657.

It is a super-2 number, since 2×756271321122 (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13891663 + ... + 13897105.

Almost surely, 275627132112 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 75627132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84473807616).

75627132112 is an abundant number, since it is smaller than the sum of its proper divisors (93320483120).

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

75627132112 is a wasteful number, since it uses less digits than its factorization.

75627132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6530 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The spelling of 75627132112 in words is "seventy-five billion, six hundred twenty-seven million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 947 1048 1834 1894 2096 3668 3788 5443 6629 7336 7576 10886 13258 14672 15152 21772 26516 38101 43544 53032 76202 87088 106064 124057 152404 248114 304808 496228 609616 713033 868399 992456 1426066 1736798 1984912 2852132 3473596 4991231 5154521 5704264 6947192 9982462 10309042 11408528 13894384 19964924 20618084 36081647 39929848 41236168 72163294 79859696 82472336 144326588 288653176 577306352 675242251 1350484502 2700969004 4726695757 5401938008 9453391514 10803876016 18906783028 37813566056 75627132112