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119575699013664 = 25323113393335463
BaseRepresentation
bin11011001100000011100011…
…000100000100000000100000
3120200101022210001121122121200
4123030003203010010000200
5111133112012421414124
61102152152350121200
734121026202254365
oct3314034304040040
9520338701548550
10119575699013664
1135111850841133
12114b26a37b0200
135194c2b33a59a
1421756cd6c246c
15dc5689614bc9
hex6cc0e3104020

119575699013664 has 72 divisors (see below), whose sum is σ = 351012535840512. Its totient is φ = 38572806130560.

The previous prime is 119575699013663. The next prime is 119575699013801. The reversal of 119575699013664 is 466310996575911.

It is a happy number.

119575699013664 is a `hidden beast` number, since 1 + 1 + 9 + 57 + 569 + 9 + 0 + 1 + 3 + 6 + 6 + 4 = 666.

119575699013664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 119575699013592 and 119575699013601.

It is not an unprimeable number, because it can be changed into a prime (119575699013663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6696658804 + ... + 6696676659.

It is an arithmetic number, because the mean of its divisors is an integer number (4875174108896).

Almost surely, 2119575699013664 is an apocalyptic number.

It is an amenable number.

119575699013664 is an abundant number, since it is smaller than the sum of its proper divisors (231436836826848).

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

119575699013664 is a wasteful number, since it uses less digits than its factorization.

119575699013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13393335510 (or 13393335499 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 119575699013664 in words is "one hundred nineteen trillion, five hundred seventy-five billion, six hundred ninety-nine million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 13393335463 26786670926 40180006389 53573341852 80360012778 107146683704 120540019167 160720025556 214293367408 241080038334 321440051112 415193399353 428586734816 482160076668 642880102224 830386798706 964320153336 1245580198059 1285760204448 1660773597412 1928640306672 2491160396118 3321547194824 3736740594177 3857280613344 4982320792236 6643094389648 7473481188354 9964641584472 13286188779296 14946962376708 19929283168944 29893924753416 39858566337888 59787849506832 119575699013664