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32929290764117 = 1121414919234073
BaseRepresentation
bin1110111110010111100101…
…01011011011111101010101
311022121000020220001200022222
413133023302223123331111
513304003141413422432
6154011301330232125
76636030344144456
oct737136253337525
9138530226050288
1032929290764117
11a546263198300
123839b00a25645
13154b2ac9005b7
1481bb013ab12d
153c1876a13112
hex1df2f2adbf55

32929290764117 has 12 divisors (see below), whose sum is σ = 36197565564300. Its totient is φ = 29933601572160.

The previous prime is 32929290764077. The next prime is 32929290764119. The reversal of 32929290764117 is 71146709292923.

It can be written as a sum of positive squares in 2 ways, for example, as 17155120231876 + 15774170532241 = 4141874^2 + 3971671^2 .

It is not a de Polignac number, because 32929290764117 - 210 = 32929290763093 is a prime.

It is a super-2 number, since 2×329292907641172 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32929290764117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32929290764119) 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, 7905008 + ... + 11329065.

It is an arithmetic number, because the mean of its divisors is an integer number (3016463797025).

Almost surely, 232929290764117 is an apocalyptic number.

It is an amenable number.

32929290764117 is a deficient number, since it is larger than the sum of its proper divisors (3268274800183).

32929290764117 is a wasteful number, since it uses less digits than its factorization.

32929290764117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19248244 (or 19248233 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 62.

The spelling of 32929290764117 in words is "thirty-two trillion, nine hundred twenty-nine billion, two hundred ninety million, seven hundred sixty-four thousand, one hundred seventeen".

Divisors: 1 11 121 14149 155639 1712029 19234073 211574803 2327322833 272142898877 2993571887647 32929290764117