Search a number
-
+
113569280140680 = 23355713192355669
BaseRepresentation
bin11001110100101001101000…
…100110011010010110001000
3112220010010011101211120100000
4121310221220212122112020
5104341204341204000210
61041313001304243000
732631052430236620
oct3164515046322610
9486103141746300
10113569280140680
1133206508992481
12108a25a2170460
134b4a6ca1c2cc0
142008ad5209880
15d1e2e6da3ac0
hex674a6899a588

113569280140680 has 1152 divisors, whose sum is σ = 497203441862400. Its totient is φ = 22700655212544.

The previous prime is 113569280140651. The next prime is 113569280140681. The reversal of 113569280140680 is 86041082965311.

It is a happy number.

113569280140680 is a `hidden beast` number, since 1 + 1 + 3 + 569 + 2 + 8 + 0 + 14 + 0 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (113569280140681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319133886 + ... + 319489554.

It is an arithmetic number, because the mean of its divisors is an integer number (431600209950).

Almost surely, 2113569280140680 is an apocalyptic number.

113569280140680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113569280140680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248601720931200).

113569280140680 is an abundant number, since it is smaller than the sum of its proper divisors (383634161721720).

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

113569280140680 is a wasteful number, since it uses less digits than its factorization.

113569280140680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355753 (or 355718 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 113569280140680 in words is "one hundred thirteen trillion, five hundred sixty-nine billion, two hundred eighty million, one hundred forty thousand, six hundred eighty".