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999965000307 = 371333111066089
BaseRepresentation
bin11101000110100101000…
…11110000001001110011
310112121002021120020221010
432203102203300021303
5112340412020002212
62043213320202003
7132150031155060
oct16432243601163
93477067506833
10999965000307
113560a01a0129
12141972309303
13733b0c62c70
1436581935c67
151b02865103c
hexe8d28f0273

999965000307 has 32 divisors (see below), whose sum is σ = 1645925962240. Its totient is φ = 525860501760.

The previous prime is 999965000273. The next prime is 999965000311. The reversal of 999965000307 is 703000569999.

It is not a de Polignac number, because 999965000307 - 27 = 999965000179 is a prime.

It is the 999983-rd Hogben number.

It is not an unprimeable number, because it can be changed into a prime (999965000327) by changing a digit.

It is a nontrivial repunit in base 999982.

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 31 ways as a sum of consecutive naturals, for example, 5442682 + ... + 5623407.

It is an arithmetic number, because the mean of its divisors is an integer number (51435186320).

Almost surely, 2999965000307 is an apocalyptic number.

999965000307 is a deficient number, since it is larger than the sum of its proper divisors (645960961933).

999965000307 is a wasteful number, since it uses less digits than its factorization.

999965000307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066443.

The product of its (nonzero) digits is 4133430, while the sum is 57.

The spelling of 999965000307 in words is "nine hundred ninety-nine billion, nine hundred sixty-five million, three hundred seven", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 91 273 331 993 2317 4303 6951 12909 30121 90363 11066089 33198267 77462623 143859157 232387869 431577471 1007014099 3021042297 3662875459 10988626377 25640128213 47617380967 76920384639 142852142901 333321666769 999965000307