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155116460209956 = 223723147154580573
BaseRepresentation
bin100011010001001111011101…
…100000100111011100100100
3202100012222200211000120021020
4203101033131200213130210
5130312412002303204311
61305523303523051140
744446536326026410
oct4321173540473444
9670188624016236
10155116460209956
1145474580a02223
1215492738810ab0
13687255b658acb
142a43968d4dd40
1512dee05e89c06
hex8d13dd827724

155116460209956 has 96 divisors (see below), whose sum is σ = 431921844092928. Its totient is φ = 42363256763520.

The previous prime is 155116460209897. The next prime is 155116460209957. The reversal of 155116460209956 is 659902064611551.

It is a happy number.

It is a super-2 number, since 2×1551164602099562 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 155116460209956.

It is not an unprimeable number, because it can be changed into a prime (155116460209957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24448315 + ... + 30132258.

It is an arithmetic number, because the mean of its divisors is an integer number (4499185875968).

Almost surely, 2155116460209956 is an apocalyptic number.

It is an amenable number.

155116460209956 is an abundant number, since it is smaller than the sum of its proper divisors (276805383882972).

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

155116460209956 is a wasteful number, since it uses less digits than its factorization.

155116460209956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54582081 (or 54582079 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 60.

The spelling of 155116460209956 in words is "one hundred fifty-five trillion, one hundred sixteen billion, four hundred sixty million, two hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1471 1932 2942 4413 5884 8826 10297 17652 20594 30891 33833 41188 61782 67666 101499 123564 135332 202998 236831 405996 473662 710493 947324 1420986 2841972 54580573 109161146 163741719 218322292 327483438 382064011 654966876 764128022 1146192033 1255353179 1528256044 2292384066 2510706358 3766059537 4584768132 5021412716 7532119074 8787472253 15064238148 17574944506 26362416759 35149889012 52724833518 80288022883 105449667036 160576045766 240864068649 321152091532 481728137298 562016160181 963456274596 1124032320362 1686048480543 1846624526309 2248064640724 3372096961086 3693249052618 5539873578927 6744193922172 7386498105236 11079747157854 12926371684163 22159494315708 25852743368326 38779115052489 51705486736652 77558230104978 155116460209956