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13421022624 = 253315533591
BaseRepresentation
bin11000111111111010…
…01000110110100000
31021122100000120221000
430133331020312200
5204441240210444
610055431032000
7653404544562
oct143775106640
937570016830
1013421022624
1157678a9a39
12272680b600
13135b694009
14914643332
155383b9469
hex31ff48da0

13421022624 has 48 divisors (see below), whose sum is σ = 39144651840. Its totient is φ = 4473673920.

The previous prime is 13421022611. The next prime is 13421022661. The reversal of 13421022624 is 42622012431.

13421022624 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 10 + 22 + 624 = 666.

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

It is a super-3 number, since 3×134210226243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7765932 + ... + 7767659.

It is an arithmetic number, because the mean of its divisors is an integer number (815513580).

Almost surely, 213421022624 is an apocalyptic number.

It is an amenable number.

13421022624 is an abundant number, since it is smaller than the sum of its proper divisors (25723629216).

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

13421022624 is a wasteful number, since it uses less digits than its factorization.

13421022624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15533610 (or 15533596 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13421022624 in words is "thirteen billion, four hundred twenty-one million, twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 15533591 31067182 46600773 62134364 93201546 124268728 139802319 186403092 248537456 279604638 372806184 419406957 497074912 559209276 745612368 838813914 1118418552 1491224736 1677627828 2236837104 3355255656 4473674208 6710511312 13421022624