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420712460423172 = 22336136354789143
BaseRepresentation
bin101111110101000101100000…
…0110000011001000000000100
32001011121201101201201002202000
41133222023000300121000010
5420120423104332020142
64050440345224345300
7154421320652435151
oct13752130060310004
92034551351632660
10420712460423172
11112063174a59715
123b228a87915230
131509a02663c288
1475c683d9db228
153398a6ae3914c
hex17ea2c0c19004

420712460423172 has 48 divisors (see below), whose sum is σ = 1092515349636480. Its totient is φ = 140008714376544.

The previous prime is 420712460423147. The next prime is 420712460423209. The reversal of 420712460423172 is 271324064217024.

420712460423172 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 1 + 2 + 4 + 604 + 2 + 31 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177328368 + ... + 3177460775.

It is an arithmetic number, because the mean of its divisors is an integer number (22760736450760).

Almost surely, 2420712460423172 is an apocalyptic number.

It is an amenable number.

420712460423172 is an abundant number, since it is smaller than the sum of its proper divisors (671802889213308).

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

420712460423172 is a wasteful number, since it uses less digits than its factorization.

420712460423172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354789769 (or 6354789761 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 420712460423172 in words is "four hundred twenty trillion, seven hundred twelve billion, four hundred sixty million, four hundred twenty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 613 1226 1839 2452 3678 5517 7356 11034 16551 22068 33102 66204 6354789143 12709578286 19064367429 25419156572 38128734858 57193102287 76257469716 114386204574 171579306861 228772409148 343158613722 686317227444 3895485744659 7790971489318 11686457233977 15581942978636 23372914467954 35059371701931 46745828935908 70118743403862 105178115105793 140237486807724 210356230211586 420712460423172