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455257260045 = 325723127494783
BaseRepresentation
bin1101001111111110111…
…00101000000000001101
31121112002122212000121200
412213333130220000031
524424331324310140
6545050423020113
744614461601350
oct6477734500015
91545078760550
10455257260045
11166089944765
127429489a639
1333c13621a13
141806ac00297
15bc97ab0030
hex69ff72800d

455257260045 has 96 divisors (see below), whose sum is σ = 948465303552. Its totient is φ = 197501141376.

The previous prime is 455257260043. The next prime is 455257260067. The reversal of 455257260045 is 540062752554.

455257260045 is a `hidden beast` number, since 4 + 552 + 57 + 2 + 6 + 0 + 0 + 45 = 666.

It is not a de Polignac number, because 455257260045 - 21 = 455257260043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455257260041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 672724 + ... + 1167506.

It is an arithmetic number, because the mean of its divisors is an integer number (9879846912).

Almost surely, 2455257260045 is an apocalyptic number.

455257260045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

455257260045 is an abundant number, since it is smaller than the sum of its proper divisors (493208043507).

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

455257260045 is a wasteful number, since it uses less digits than its factorization.

455257260045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494951 (or 494948 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 455257260045 in words is "four hundred fifty-five billion, two hundred fifty-seven million, two hundred sixty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 127 161 207 315 345 381 483 635 805 889 1035 1143 1449 1905 2415 2667 2921 4445 5715 7245 8001 8763 13335 14605 20447 26289 40005 43815 61341 102235 131445 184023 306705 494783 920115 1484349 2473915 3463481 4453047 7421745 10390443 11380009 17317405 22265235 31171329 34140027 51952215 56900045 62837441 79660063 102420081 155856645 170700135 188512323 238980189 314187205 398300315 439862087 512100405 565536969 716940567 942561615 1194900945 1319586261 1445261143 2199310435 2827684845 3584702835 3958758783 4335783429 6597931305 7226305715 10116828001 13007350287 19793793915 21678917145 30350484003 50584140005 65036751435 91051452009 151752420015 455257260045