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165000700293 = 311132361274139
BaseRepresentation
bin1001100110101011001…
…1101110000110000101
3120202220011221001011220
42121222303232012011
510200410134402133
6203444505350553
714630604545232
oct2315263560605
9522804831156
10165000700293
1163a81659320
1227b8a498459
13127372b2190
147db3b18789
15445a9d15b3
hex266acee185

165000700293 has 64 divisors (see below), whose sum is σ = 274122455040. Its totient is φ = 86846918400.

The previous prime is 165000700283. The next prime is 165000700321. The reversal of 165000700293 is 392007000561.

165000700293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165000700293 - 29 = 165000699781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165000700283) 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 63 ways as a sum of consecutive naturals, for example, 464818 + ... + 738956.

It is an arithmetic number, because the mean of its divisors is an integer number (4283163360).

Almost surely, 2165000700293 is an apocalyptic number.

165000700293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165000700293 is a deficient number, since it is larger than the sum of its proper divisors (109121754747).

165000700293 is a wasteful number, since it uses less digits than its factorization.

165000700293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274250.

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 165000700293 in words is "one hundred sixty-five billion, seven hundred thousand, two hundred ninety-three".

Divisors: 1 3 11 13 23 33 39 61 69 143 183 253 299 429 671 759 793 897 1403 2013 2379 3289 4209 8723 9867 15433 18239 26169 46299 54717 200629 274139 601887 822417 3015529 3563807 6305197 9046587 10691421 16722479 18915591 39201877 50167437 69357167 81967561 117605631 183947269 208071501 217392227 245902683 384617017 551841807 652176681 901643171 1153851051 2391314497 2704929513 4230787187 5000021221 7173943491 12692361561 15000063663 55000233431 165000700293