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345163460058 = 23361104785507
BaseRepresentation
bin1010000010111010101…
…10000110110111011010
31012222221000221111212000
411001131112012313122
521123343321210213
6422322122501430
733636321000504
oct5013526066732
91188830844760
10345163460058
111234238582aa
1256a8a664876
1326719872381
14129c53a0d74
158ea2639c73
hex505d586dda

345163460058 has 32 divisors (see below), whose sum is σ = 779604179520. Its totient is φ = 113168346480.

The previous prime is 345163460039. The next prime is 345163460071. The reversal of 345163460058 is 850064361543.

345163460058 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 6 + 34 + 600 + 5 + 8 = 666.

It is a super-2 number, since 2×3451634600582 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345163459995 and 345163460022.

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, 52389460 + ... + 52396047.

It is an arithmetic number, because the mean of its divisors is an integer number (24362630610).

Almost surely, 2345163460058 is an apocalyptic number.

345163460058 is an abundant number, since it is smaller than the sum of its proper divisors (434440719462).

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

345163460058 is a wasteful number, since it uses less digits than its factorization.

345163460058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104785579 (or 104785573 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 345163460058 in words is "three hundred forty-five billion, one hundred sixty-three million, four hundred sixty thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 104785507 209571014 314356521 628713042 943069563 1886139126 2829208689 5658417378 6391915927 12783831854 19175747781 38351495562 57527243343 115054486686 172581730029 345163460058