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34665255757 = 1121777161221
BaseRepresentation
bin100000010010001101…
…011101001101001101
310022110212210110011101
4200102031131031031
51031443301141012
623531444423101
72335015545406
oct402215351515
9108425713141
1034665255757
11137796a6800
1268753a7a91
133365a7c672
14196bc909ad
15d7d4abd57
hex81235d34d

34665255757 has 12 divisors (see below), whose sum is σ = 38124811228. Its totient is φ = 31495939200.

The previous prime is 34665255749. The next prime is 34665255791. The reversal of 34665255757 is 75755256643.

It can be written as a sum of positive squares in 2 ways, for example, as 21054300201 + 13610955556 = 145101^2 + 116666^2 .

It is not a de Polignac number, because 34665255757 - 23 = 34665255749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34665255698 and 34665255707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34665255707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134407 + ... + 295627.

Almost surely, 234665255757 is an apocalyptic number.

It is an amenable number.

34665255757 is a deficient number, since it is larger than the sum of its proper divisors (3459555471).

34665255757 is a wasteful number, since it uses less digits than its factorization.

34665255757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163020 (or 163009 counting only the distinct ones).

The product of its digits is 26460000, while the sum is 55.

The spelling of 34665255757 in words is "thirty-four billion, six hundred sixty-five million, two hundred fifty-five thousand, seven hundred fifty-seven".

Divisors: 1 11 121 1777 19547 161221 215017 1773431 19507741 286489717 3151386887 34665255757