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12917665700 = 2252373491261
BaseRepresentation
bin11000000011111001…
…11110111110100100
31020100020212102000222
430001330332332210
5202423410300300
65533450223512
7635053226642
oct140174767644
936306772028
1012917665700
11552975a485
122606124b98
1312ab304c94
148a7856192
155090db785
hex301f3efa4

12917665700 has 36 divisors (see below), whose sum is σ = 28788946452. Its totient is φ = 5027414400.

The previous prime is 12917665699. The next prime is 12917665703. The reversal of 12917665700 is 756671921.

It can be written as a sum of positive squares in 6 ways, for example, as 43586404 + 12874079296 = 6602^2 + 113464^2 .

It is not an unprimeable number, because it can be changed into a prime (12917665703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1741931 + ... + 1749330.

It is an arithmetic number, because the mean of its divisors is an integer number (799692957).

Almost surely, 212917665700 is an apocalyptic number.

12917665700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12917665700 is an abundant number, since it is smaller than the sum of its proper divisors (15871280752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12917665700 is a wasteful number, since it uses less digits than its factorization.

12917665700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491312 (or 3491305 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 12917665700 in words is "twelve billion, nine hundred seventeen million, six hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3491261 6982522 13965044 17456305 34912610 69825220 87281525 129176657 174563050 258353314 349126100 516706628 645883285 1291766570 2583533140 3229416425 6458832850 12917665700