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34108237917 = 35132830551
BaseRepresentation
bin11111110001000000…
…100110100001011101
310021001001200000100000
4133301000212201131
51024323202103132
623400305524513
72315143144605
oct376100464135
9107031600300
1034108237917
1113513235a86
12673a943739
1332a7552b00
141917cd5c05
15d4962e87c
hex7f102685d

34108237917 has 36 divisors (see below), whose sum is σ = 55324729824. Its totient is φ = 20989659600.

The previous prime is 34108237841. The next prime is 34108237951. The reversal of 34108237917 is 71973280143.

It is not a de Polignac number, because 34108237917 - 226 = 34041129053 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34108237517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374209 + ... + 456342.

Almost surely, 234108237917 is an apocalyptic number.

It is an amenable number.

34108237917 is a deficient number, since it is larger than the sum of its proper divisors (21216491907).

34108237917 is an equidigital number, since it uses as much as digits as its factorization.

34108237917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830592 (or 830567 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 34108237917 in words is "thirty-four billion, one hundred eight million, two hundred thirty-seven thousand, nine hundred seventeen".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 1053 1521 3159 4563 13689 41067 830551 2491653 7474959 10797163 22424877 32391489 67274631 97174467 140363119 201823893 291523401 421089357 874570203 1263268071 2623710609 3789804213 11369412639 34108237917