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113655634144 = 2513307889937
BaseRepresentation
bin110100111011001100…
…1110101100011100000
3101212100212010102200021
41221312121311203200
53330231320243034
6124113534403224
711132330643643
oct1516631654340
9355325112607
10113655634144
1144223708158
121a03b060514
13a943988a30
1457028d5a5a
152e52ee86b4
hex1a766758e0

113655634144 has 48 divisors (see below), whose sum is σ = 241756997328. Its totient is φ = 52285519872.

The previous prime is 113655634033. The next prime is 113655634247. The reversal of 113655634144 is 441436556311.

It is a super-2 number, since 2×1136556341442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113655634144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 317257 + ... + 572680.

It is an arithmetic number, because the mean of its divisors is an integer number (5036604111).

Almost surely, 2113655634144 is an apocalyptic number.

It is an amenable number.

113655634144 is an abundant number, since it is smaller than the sum of its proper divisors (128101363184).

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

113655634144 is a wasteful number, since it uses less digits than its factorization.

113655634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890267 (or 890259 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 113655634144 in words is "one hundred thirteen billion, six hundred fifty-five million, six hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 307 416 614 1228 2456 3991 4912 7982 9824 15964 31928 63856 127712 889937 1779874 3559748 7119496 11569181 14238992 23138362 28477984 46276724 92553448 185106896 273210659 370213792 546421318 1092842636 2185685272 3551738567 4371370544 7103477134 8742741088 14206954268 28413908536 56827817072 113655634144