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345243956895 = 325263121324049
BaseRepresentation
bin1010000011000100010…
…01001011011010011111
31020000010122102011202100
411001202021023122133
521124024423110040
6422334120100143
733641316133245
oct5014211133237
91200118364670
10345243956895
11123465238812
1256ab1604653
1326730447936
14129d1d56795
158ea973ab30
hex506224b69f

345243956895 has 48 divisors (see below), whose sum is σ = 601218446400. Its totient is φ = 183271154688.

The previous prime is 345243956873. The next prime is 345243956921. The reversal of 345243956895 is 598659342543.

It is a happy number.

345243956895 is a `hidden beast` number, since 3 + 4 + 52 + 439 + 5 + 68 + 95 = 666.

It is not a de Polignac number, because 345243956895 - 27 = 345243956767 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14343831 + ... + 14367879.

It is an arithmetic number, because the mean of its divisors is an integer number (12525384300).

Almost surely, 2345243956895 is an apocalyptic number.

345243956895 is a deficient number, since it is larger than the sum of its proper divisors (255974489505).

345243956895 is a wasteful number, since it uses less digits than its factorization.

345243956895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25536 (or 25533 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 345243956895 in words is "three hundred forty-five billion, two hundred forty-three million, nine hundred fifty-six thousand, eight hundred ninety-five".

Divisors: 1 3 5 9 15 45 263 789 1213 1315 2367 3639 3945 6065 10917 11835 18195 24049 54585 72147 120245 216441 319019 360735 957057 1082205 1595095 2871171 4785285 6324887 14355855 18974661 29171437 31624435 56923983 87514311 94873305 145857185 262542933 284619915 437571555 1312714665 7672087931 23016263793 38360439655 69048791379 115081318965 345243956895