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13572281340 = 22325531422671
BaseRepresentation
bin11001010001111100…
…01001001111111100
31022000212122022212200
430220332021033330
5210244001000330
610122433031500
7660222326232
oct145076111774
938025568780
1013572281340
115835220942
1227693b5590
131383b13b07
1492a778952
155467e6a60
hex328f893fc

13572281340 has 72 divisors (see below), whose sum is σ = 41946061248. Its totient is φ = 3550984320.

The previous prime is 13572281297. The next prime is 13572281341. The reversal of 13572281340 is 4318227531.

13572281340 is a `hidden beast` number, since 1 + 3 + 572 + 2 + 81 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×135722813402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13572281295 and 13572281304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13572281341) 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 23 ways as a sum of consecutive naturals, for example, 701796 + ... + 720875.

It is an arithmetic number, because the mean of its divisors is an integer number (582584184).

Almost surely, 213572281340 is an apocalyptic number.

13572281340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13572281340 is an abundant number, since it is smaller than the sum of its proper divisors (28373779908).

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

13572281340 is a wasteful number, since it uses less digits than its factorization.

13572281340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422739 (or 1422734 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13572281340 in words is "thirteen billion, five hundred seventy-two million, two hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 1422671 2845342 4268013 5690684 7113355 8536026 12804039 14226710 17072052 21340065 25608078 28453420 42680130 51216156 64020195 75401563 85360260 128040390 150803126 226204689 256080780 301606252 377007815 452409378 678614067 754015630 904818756 1131023445 1357228134 1508031260 2262046890 2714456268 3393070335 4524093780 6786140670 13572281340