Search a number
-
+
13758862713700 = 22521310583740549
BaseRepresentation
bin1100100000110111110000…
…0111111110001101100100
31210201100000210120121020211
43020031330013332031210
53300411122323314300
645132422334105204
72620021305263206
oct310157407761544
953640023517224
1013758862713700
114425112344415
12166268734b204
1378a5bc078260
14357d0ab36776
1518cd761e34ba
hexc837c1fe364

13758862713700 has 36 divisors (see below), whose sum is σ = 32153403790900. Its totient is φ = 5080195463040.

The previous prime is 13758862713581. The next prime is 13758862713709. The reversal of 13758862713700 is 731726885731.

It can be written as a sum of positive squares in 6 ways, for example, as 1006935985444 + 12751926728256 = 1003462^2 + 3570984^2 .

It is not an unprimeable number, because it can be changed into a prime (13758862713709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5291868975 + ... + 5291871574.

Almost surely, 213758862713700 is an apocalyptic number.

13758862713700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13758862713700 is an abundant number, since it is smaller than the sum of its proper divisors (18394541077200).

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

13758862713700 is a wasteful number, since it uses less digits than its factorization.

13758862713700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583740576 (or 10583740569 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 13758862713700 in words is "thirteen trillion, seven hundred fifty-eight billion, eight hundred sixty-two million, seven hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 10583740549 21167481098 42334962196 52918702745 105837405490 137588627137 211674810980 264593513725 275177254274 529187027450 550354508548 687943135685 1058374054900 1375886271370 2751772542740 3439715678425 6879431356850 13758862713700