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34668088117 = 13172367101797
BaseRepresentation
bin100000010010011000…
…010000101100110101
310022111002010100102121
4200102120100230311
51032000012304432
623532025235541
72335051613125
oct402230205465
9108432110377
1034668088117
11137802607a3
126876332bb1
133366531910
14196c3cac85
15d7d86b197
hex812610b35

34668088117 has 32 divisors (see below), whose sum is σ = 41865852672. Its totient is φ = 28379096064.

The previous prime is 34668088079. The next prime is 34668088157. The reversal of 34668088117 is 71188086643.

It is a de Polignac number, because none of the positive numbers 2k-34668088117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668088157) by changing a digit.

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, 289663 + ... + 391459.

It is an arithmetic number, because the mean of its divisors is an integer number (1308307896).

Almost surely, 234668088117 is an apocalyptic number.

It is an amenable number.

34668088117 is a deficient number, since it is larger than the sum of its proper divisors (7197764555).

34668088117 is a wasteful number, since it uses less digits than its factorization.

34668088117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101917.

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 34668088117 in words is "thirty-four billion, six hundred sixty-eight million, eighty-eight thousand, one hundred seventeen".

Divisors: 1 13 17 23 67 221 299 391 871 1139 1541 5083 14807 20033 26197 101797 340561 1323361 1730549 2341331 6820399 22497137 30437303 39802627 88665187 115946783 156869177 517434151 1507308179 2039299301 2666776009 34668088117