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10160424405 = 335375633613
BaseRepresentation
bin10010111011001101…
…11100010111010101
3222020002122001001000
421131212330113111
5131302032040110
64400113053513
7506533116405
oct113546742725
928202561030
1010160424405
11434432726a
121b76857299
13c5bcc9161
146c55a2805
153e6eeb1c0
hex25d9bc5d5

10160424405 has 64 divisors (see below), whose sum is σ = 18589259520. Its totient is φ = 5261614848.

The previous prime is 10160424383. The next prime is 10160424419. The reversal of 10160424405 is 50442406101.

10160424405 is a `hidden beast` number, since 10 + 1 + 604 + 2 + 4 + 40 + 5 = 666.

It is not a de Polignac number, because 10160424405 - 26 = 10160424341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2810379 + ... + 2813991.

It is an arithmetic number, because the mean of its divisors is an integer number (290457180).

Almost surely, 210160424405 is an apocalyptic number.

10160424405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10160424405 is a deficient number, since it is larger than the sum of its proper divisors (8428835115).

10160424405 is a wasteful number, since it uses less digits than its factorization.

10160424405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10160424405 in words is "ten billion, one hundred sixty million, four hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 37 45 111 135 185 333 555 563 999 1665 1689 2815 3613 4995 5067 8445 10839 15201 18065 20831 25335 32517 54195 62493 76005 97551 104155 133681 162585 187479 312465 401043 487755 562437 668405 937395 1203129 2005215 2034119 2812185 3609387 6015645 6102357 10170595 18046935 18307071 30511785 54921213 75262403 91535355 225787209 274606065 376312015 677361627 1128936045 2032084881 3386808135 10160424405