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122664456140 = 225311053118787
BaseRepresentation
bin111001000111101011…
…1110000111111001100
3102201121200211000012012
41302033113300333030
54002204100044030
6132203513000352
711601511450052
oct1621727607714
9381550730165
10122664456140
1148026984496
121b9340b30b8
13b74b207635
145d191661d2
1532cdd69095
hex1c8f5f0fcc

122664456140 has 48 divisors (see below), whose sum is σ = 265944290304. Its totient is φ = 47475979200.

The previous prime is 122664456139. The next prime is 122664456143. The reversal of 122664456140 is 41654466221.

It is not an unprimeable number, because it can be changed into a prime (122664456143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6519827 + ... + 6538613.

It is an arithmetic number, because the mean of its divisors is an integer number (5540506048).

Almost surely, 2122664456140 is an apocalyptic number.

122664456140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122664456140 is an abundant number, since it is smaller than the sum of its proper divisors (143279834164).

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

122664456140 is a wasteful number, since it uses less digits than its factorization.

122664456140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29358 (or 29356 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 122664456140 in words is "one hundred twenty-two billion, six hundred sixty-four million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 10531 18787 21062 37574 42124 52655 75148 93935 105310 187870 210620 326461 375740 582397 652922 1164794 1305844 1632305 2329588 2911985 3264610 5823970 6529220 11647940 197845897 395691794 791383588 989229485 1978458970 3956917940 6133222807 12266445614 24532891228 30666114035 61332228070 122664456140