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15046680336672 = 2531336911172377
BaseRepresentation
bin1101101011110101010000…
…0010010101100100100000
31222021110010000122011212210
43122331110002111210200
53433011100131233142
652000203255122120
73112041523412445
oct332752402254440
958243100564783
1015046680336672
114881296869416
121830192973340
13851b852b407a
143a039838b9cc
151b15ea87049c
hexdaf54095920

15046680336672 has 48 divisors (see below), whose sum is σ = 39497865013152. Its totient is φ = 5015518318080.

The previous prime is 15046680336671. The next prime is 15046680336679. The reversal of 15046680336672 is 27663308664051.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×150466803366722 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15046680336671) 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 7 ways as a sum of consecutive naturals, for example, 12248148 + ... + 13420524.

It is an arithmetic number, because the mean of its divisors is an integer number (822872187774).

Almost surely, 215046680336672 is an apocalyptic number.

15046680336672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15046680336672 is an abundant number, since it is smaller than the sum of its proper divisors (24451184676480).

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

15046680336672 is a wasteful number, since it uses less digits than its factorization.

15046680336672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306081 (or 1306073 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 15046680336672 in words is "fifteen trillion, forty-six billion, six hundred eighty million, three hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 133691 267382 401073 534764 802146 1069528 1172377 1604292 2139056 2344754 3208584 3517131 4278112 4689508 6417168 7034262 9379016 12834336 14068524 18758032 28137048 37516064 56274096 112548192 156736253507 313472507014 470208760521 626945014028 940417521042 1253890028056 1880835042084 2507780056112 3761670084168 5015560112224 7523340168336 15046680336672