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345680768755 = 5739724878069
BaseRepresentation
bin1010000011111000010…
…11011110111011110011
31020001021002100111222101
411001330023132323303
521130423234100010
6422445322321231
733655202024230
oct5017413367363
91201232314871
10345680768755
11123669866a53
1256bb3959217
132679caa78aa
1412a33d80787
158ed2c7173a
hex507c2deef3

345680768755 has 16 divisors (see below), whose sum is σ = 475270649280. Its totient is φ = 236441158272.

The previous prime is 345680768677. The next prime is 345680768791. The reversal of 345680768755 is 557867086543.

It is a cyclic number.

It is not a de Polignac number, because 345680768755 - 223 = 345672380147 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12425140 + ... + 12452929.

It is an arithmetic number, because the mean of its divisors is an integer number (29704415580).

Almost surely, 2345680768755 is an apocalyptic number.

345680768755 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345680768755 is a deficient number, since it is larger than the sum of its proper divisors (129589880525).

345680768755 is a wasteful number, since it uses less digits than its factorization.

345680768755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24878478.

The product of its (nonzero) digits is 169344000, while the sum is 64.

The spelling of 345680768755 in words is "three hundred forty-five billion, six hundred eighty million, seven hundred sixty-eight thousand, seven hundred fifty-five".

Divisors: 1 5 7 35 397 1985 2779 13895 24878069 124390345 174146483 870732415 9876593393 49382966965 69136153751 345680768755