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70720000967 = 71129102131019
BaseRepresentation
bin100000111011100111…
…1011001001111000111
320202112121011021112002
41001313033121033013
52124313310012332
652253251015515
75052336042560
oct1016717311707
9222477137462
1070720000967
1127aa06624a0
1211857b9a59b
13689066a725
1435cc4b9167
151c8d934562
hex10773d93c7

70720000967 has 32 divisors (see below), whose sum is σ = 91303027200. Its totient is φ = 53152444800.

The previous prime is 70720000951. The next prime is 70720001039. The reversal of 70720000967 is 76900002707.

It is not a de Polignac number, because 70720000967 - 24 = 70720000951 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 70720000967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70720000907) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264384 + ... + 2295402.

It is an arithmetic number, because the mean of its divisors is an integer number (2853219600).

Almost surely, 270720000967 is an apocalyptic number.

70720000967 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

70720000967 is the 217133-rd pentagonal number.

70720000967 is a deficient number, since it is larger than the sum of its proper divisors (20583026233).

70720000967 is a wasteful number, since it uses less digits than its factorization.

70720000967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32087.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 70720000967 in words is "seventy billion, seven hundred twenty million, nine hundred sixty-seven", and thus it is an aban number.

Divisors: 1 7 11 29 77 203 319 1021 2233 7147 11231 29609 31019 78617 207263 217133 325699 341209 899551 2279893 2388463 6296857 9895061 31670399 69265427 221692793 348374389 918441571 2438620723 6429090997 10102857281 70720000967