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31177700192 = 2541234110151
BaseRepresentation
bin11101000010010101…
…011111001101100000
32222110211100021022202
4131002111133031200
51002322442401232
622153422152332
72152420036052
oct350225371540
988424307282
1031177700192
1112249aa9681
1260614226a8
132c2b37c412
14171aa118d2
15c2720c162
hex74255f360

31177700192 has 48 divisors (see below), whose sum is σ = 62911253664. Its totient is φ = 15200640000.

The previous prime is 31177700149. The next prime is 31177700251. The reversal of 31177700192 is 29100777113.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3066317 + ... + 3076467.

It is an arithmetic number, because the mean of its divisors is an integer number (1310651118).

Almost surely, 231177700192 is an apocalyptic number.

31177700192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31177700192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455626832).

31177700192 is an abundant number, since it is smaller than the sum of its proper divisors (31733553472).

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

31177700192 is a wasteful number, since it uses less digits than its factorization.

31177700192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 38.

The spelling of 31177700192 in words is "thirty-one billion, one hundred seventy-seven million, seven hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 2341 4682 9364 10151 18728 20302 37456 40604 74912 81208 95981 162416 191962 324832 383924 416191 767848 832382 1535696 1664764 3071392 3329528 6659056 13318112 23763491 47526982 95053964 190107928 380215856 760431712 974303131 1948606262 3897212524 7794425048 15588850096 31177700192