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85629703632 = 24311162177469
BaseRepresentation
bin100111110111111101…
…1011001010111010000
322012000200101122112220
41033233323121113100
52400332201004012
6103200541421040
76120661320504
oct1175773312720
9265020348486
1085629703632
113335180a810
121471926a780
1380c858c3b5
144204716304
15236285e08c
hex13efed95d0

85629703632 has 40 divisors (see below), whose sum is σ = 241320075360. Its totient is φ = 25948394880.

The previous prime is 85629703609. The next prime is 85629703669. The reversal of 85629703632 is 23630792658.

It is a super-2 number, since 2×856297036322 (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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81088207 + ... + 81089262.

It is an arithmetic number, because the mean of its divisors is an integer number (6033001884).

Almost surely, 285629703632 is an apocalyptic number.

It is an amenable number.

85629703632 is an abundant number, since it is smaller than the sum of its proper divisors (155690371728).

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

85629703632 is a wasteful number, since it uses less digits than its factorization.

85629703632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162177491 (or 162177485 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 85629703632 in words is "eighty-five billion, six hundred twenty-nine million, seven hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 162177469 324354938 486532407 648709876 973064814 1297419752 1783952159 1946129628 2594839504 3567904318 3892259256 5351856477 7135808636 7784518512 10703712954 14271617272 21407425908 28543234544 42814851816 85629703632