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33900818957 = 172477805073
BaseRepresentation
bin11111100100101001…
…010111001000001101
310020111121101001000022
4133210221113020031
51023412102201312
623323540111525
72310044130605
oct374451271015
9106447331008
1033900818957
1113417146055
1266a13955a5
13327359b9b5
1418d8541c05
15d3630c172
hex7e4a5720d

33900818957 has 8 divisors (see below), whose sum is σ = 35909520696. Its totient is φ = 31893732352.

The previous prime is 33900818899. The next prime is 33900818981. The reversal of 33900818957 is 75981800933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18318539716 + 15582279241 = 135346^2 + 124829^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33900818957 - 210 = 33900817933 is a prime.

It is a super-2 number, since 2×339008189572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33900818899 and 33900818908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33900818557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360428 + ... + 444645.

It is an arithmetic number, because the mean of its divisors is an integer number (4488690087).

Almost surely, 233900818957 is an apocalyptic number.

It is an amenable number.

33900818957 is a deficient number, since it is larger than the sum of its proper divisors (2008701739).

33900818957 is a wasteful number, since it uses less digits than its factorization.

33900818957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807567.

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 33900818957 in words is "thirty-three billion, nine hundred million, eight hundred eighteen thousand, nine hundred fifty-seven".

Divisors: 1 17 2477 42109 805073 13686241 1994165821 33900818957