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34680933705 = 3511712960387
BaseRepresentation
bin100000010011001001…
…010000110101001001
310022111222021222021010
4200103021100311021
51032011304334310
623533204434133
72335266033615
oct402311206511
9108458258233
1034680933705
1113787534890
12687a6a8949
1333690ab762
14196ddb2345
15d7ea57320
hex813250d49

34680933705 has 32 divisors (see below), whose sum is σ = 61386605568. Its totient is φ = 16578161600.

The previous prime is 34680933641. The next prime is 34680933713. The reversal of 34680933705 is 50733908643.

It is not a de Polignac number, because 34680933705 - 26 = 34680933641 is a prime.

It is a super-5 number, since 5×346809337055 (a number of 54 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468479 + ... + 1491908.

It is an arithmetic number, because the mean of its divisors is an integer number (1918331424).

Almost surely, 234680933705 is an apocalyptic number.

It is an amenable number.

34680933705 is a deficient number, since it is larger than the sum of its proper divisors (26705671863).

34680933705 is a wasteful number, since it uses less digits than its factorization.

34680933705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960477.

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 34680933705 in words is "thirty-four billion, six hundred eighty million, nine hundred thirty-three thousand, seven hundred five".

Divisors: 1 3 5 11 15 33 55 71 165 213 355 781 1065 2343 3905 11715 2960387 8881161 14801935 32564257 44405805 97692771 162821285 210187477 488463855 630562431 1050937385 2312062247 3152812155 6936186741 11560311235 34680933705