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128313945756 = 223273310914457
BaseRepresentation
bin111011110000000011…
…0110110111010011100
3110021012102022211000100
41313200012312322130
54100241332231011
6134540245101100
712161511354213
oct1674006667234
9407172284010
10128313945756
114a465971677
1220a500b7790
13c13b79bab9
1462d35b407a
15350ed16d56
hex1de01b6e9c

128313945756 has 72 divisors (see below), whose sum is σ = 325162275984. Its totient is φ = 42664239360.

The previous prime is 128313945611. The next prime is 128313945769. The reversal of 128313945756 is 657549313821.

It is a happy number.

128313945756 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 139 + 457 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28787080 + ... + 28791536.

It is an arithmetic number, because the mean of its divisors is an integer number (4516142722).

Almost surely, 2128313945756 is an apocalyptic number.

It is an amenable number.

128313945756 is an abundant number, since it is smaller than the sum of its proper divisors (196848330228).

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

128313945756 is a wasteful number, since it uses less digits than its factorization.

128313945756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6286 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 128313945756 in words is "one hundred twenty-eight billion, three hundred thirteen million, nine hundred forty-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 733 1091 1466 2182 2199 2932 3273 4364 4398 4457 6546 6597 8796 8914 9819 13092 13194 13371 17828 19638 26388 26742 39276 40113 53484 80226 160452 799703 1599406 2399109 3198812 3266981 4798218 4862587 6533962 7197327 9596436 9725174 9800943 13067924 14394654 14587761 19450348 19601886 28789308 29175522 29402829 39203772 43763283 58351044 58805658 87526566 117611316 175053132 3564276271 7128552542 10692828813 14257105084 21385657626 32078486439 42771315252 64156972878 128313945756