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13740435432 = 233363613127
BaseRepresentation
bin11001100101111111…
…00110011111101000
31022110121001102221000
430302333212133220
5211120022413212
610151241115000
7664333526343
oct146277463750
938417042830
1013740435432
115911132569
1227b5788a60
1313ac8cab89
14944c2b45a
155564601dc
hex332fe67e8

13740435432 has 32 divisors (see below), whose sum is σ = 38167876800. Its totient is φ = 4580145072.

The previous prime is 13740435427. The next prime is 13740435433. The reversal of 13740435432 is 23453404731.

13740435432 is a `hidden beast` number, since 1 + 3 + 74 + 0 + 43 + 543 + 2 = 666.

It is a super-2 number, since 2×137404354322 (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 not an unprimeable number, because it can be changed into a prime (13740435433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31806348 + ... + 31806779.

It is an arithmetic number, because the mean of its divisors is an integer number (1192746150).

Almost surely, 213740435432 is an apocalyptic number.

13740435432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13740435432 is an abundant number, since it is smaller than the sum of its proper divisors (24427441368).

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

13740435432 is a wasteful number, since it uses less digits than its factorization.

13740435432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63613142 (or 63613132 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 13740435432 in words is "thirteen billion, seven hundred forty million, four hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 63613127 127226254 190839381 254452508 381678762 508905016 572518143 763357524 1145036286 1526715048 1717554429 2290072572 3435108858 4580145144 6870217716 13740435432