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122238134466032 = 24131930930702041
BaseRepresentation
bin11011110010110011001000…
…100101010011010111110000
3121000210211222202122011101202
4123302303020211103113300
5112010222144410403112
61111551231305550332
734514261632226414
oct3362631045232760
9530724882564352
10122238134466032
1135a489a1189a22
121186269baa53a8
1353290117088c0
142228500516d44
15e1ea638dd6c2
hex6f2cc89535f0

122238134466032 has 40 divisors (see below), whose sum is σ = 268478493724560. Its totient is φ = 53448253125120.

The previous prime is 122238134465939. The next prime is 122238134466037. The reversal of 122238134466032 is 230664431832221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122238134466037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15465347069 + ... + 15465354972.

It is an arithmetic number, because the mean of its divisors is an integer number (6711962343114).

Almost surely, 2122238134466032 is an apocalyptic number.

It is an amenable number.

122238134466032 is an abundant number, since it is smaller than the sum of its proper divisors (146240359258528).

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

122238134466032 is a wasteful number, since it uses less digits than its factorization.

122238134466032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30930702081 (or 30930702075 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 47.

The spelling of 122238134466032 in words is "one hundred twenty-two trillion, two hundred thirty-eight billion, one hundred thirty-four million, four hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 30930702041 61861404082 123722808164 247445616328 402099126533 494891232656 587683338779 804198253066 1175366677558 1608396506132 2350733355116 3216793012264 4701466710232 6433586024528 7639883404127 9402933420464 15279766808254 30559533616508 61119067233016 122238134466032