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13432079745 = 345731152837
BaseRepresentation
bin11001000001001110…
…10100010110000001
31021200002211100110000
430200213110112001
5210002103022440
610100504030213
7653600536230
oct144047242601
937602740400
1013432079745
115773071357
12272a462369
131360a65aa6
14915cc0b17
15539350730
hex3209d4581

13432079745 has 80 divisors (see below), whose sum is σ = 28405859328. Its totient is φ = 5942263680.

The previous prime is 13432079719. The next prime is 13432079761. The reversal of 13432079745 is 54797023431.

It is not a de Polignac number, because 13432079745 - 26 = 13432079681 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13432079745.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11467 + ... + 164303.

Almost surely, 213432079745 is an apocalyptic number.

13432079745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13432079745 is an abundant number, since it is smaller than the sum of its proper divisors (14973779583).

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

13432079745 is a wasteful number, since it uses less digits than its factorization.

13432079745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152892 (or 152883 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13432079745 in words is "thirteen billion, four hundred thirty-two million, seventy-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 279 315 405 465 567 651 837 945 1085 1395 1953 2511 2835 3255 4185 5859 9765 12555 17577 29295 87885 152837 458511 764185 1069859 1375533 2292555 3209577 4126599 4737947 5349295 6877665 9628731 12379797 14213841 16047885 20632995 23689735 28886193 33165629 42641523 48143655 61898985 71069205 86658579 99496887 127924569 144430965 165828145 213207615 298490661 383773707 433292895 497484435 639622845 895471983 1492453305 1918868535 2686415949 4477359915 13432079745