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34644987313321 = 711243194902953
BaseRepresentation
bin1111110000010011010100…
…01010010111110010101001
311112200000202201210211010011
413320021222022113302221
514020110413223011241
6201403404253451521
710204006040166250
oct770115212276251
9145600681724104
1034644987313321
1110047947166600
123a765201a0ba1
1316440152838b8
1487ab7d659797
154012e0386281
hex1f826a297ca9

34644987313321 has 24 divisors (see below), whose sum is σ = 43621953000192. Its totient is φ = 26933457777600.

The previous prime is 34644987313301. The next prime is 34644987313337. The reversal of 34644987313321 is 12331378944643.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34644987313321 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34644987313301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47086420 + ... + 47816533.

It is an arithmetic number, because the mean of its divisors is an integer number (1817581375008).

Almost surely, 234644987313321 is an apocalyptic number.

It is an amenable number.

34644987313321 is a deficient number, since it is larger than the sum of its proper divisors (8976965686871).

34644987313321 is a wasteful number, since it uses less digits than its factorization.

34644987313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94903413 (or 94903402 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 58.

The spelling of 34644987313321 in words is "thirty-four trillion, six hundred forty-four billion, nine hundred eighty-seven million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 11 77 121 431 847 3017 4741 33187 52151 365057 94902953 664320671 1043932483 7307527381 11483257313 40903172743 80382801191 286322209201 449934900173 3149544301211 4949283901903 34644987313321