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103436729328 = 2433169513931
BaseRepresentation
bin110000001010101001…
…1110011101111110000
3100212222200110021121010
41200111103303233300
53143314300314303
6115303532030520
710321154456352
oct1402523635760
9325880407533
10103436729328
113a95a378779
1218068902440
1399a58254aa
14501366d0d2
152a55ce9c03
hex18154f3bf0

103436729328 has 40 divisors (see below), whose sum is σ = 275831282176. Its totient is φ = 33366686400.

The previous prime is 103436729321. The next prime is 103436729329. The reversal of 103436729328 is 823927634301.

103436729328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103436729321) 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, 34755478 + ... + 34758453.

Almost surely, 2103436729328 is an apocalyptic number.

It is an amenable number.

103436729328 is an abundant number, since it is smaller than the sum of its proper divisors (172394552848).

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

103436729328 is a wasteful number, since it uses less digits than its factorization.

103436729328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69513973 (or 69513967 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 103436729328 in words is "one hundred three billion, four hundred thirty-six million, seven hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 69513931 139027862 208541793 278055724 417083586 556111448 834167172 1112222896 1668334344 2154931861 3336668688 4309863722 6464795583 8619727444 12929591166 17239454888 25859182332 34478909776 51718364664 103436729328