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21160456317 = 32711132348813
BaseRepresentation
bin10011101101010000…
…101111000001111101
32000121201010120001100
4103231100233001331
5321314034100232
613415422003313
71346242624320
oct235520570175
960551116040
1021160456317
118a79587030
124126716539
131cc2c35190
14104a4807b7
1583ca94c7c
hex4ed42f07d

21160456317 has 48 divisors (see below), whose sum is σ = 41038478208. Its totient is φ = 10146867840.

The previous prime is 21160456267. The next prime is 21160456321. The reversal of 21160456317 is 71365406112.

21160456317 is a `hidden beast` number, since 2 + 1 + 16 + 0 + 4 + 5 + 631 + 7 = 666.

It is not a de Polignac number, because 21160456317 - 28 = 21160456061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21160456217) 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 47 ways as a sum of consecutive naturals, for example, 1165398 + ... + 1183415.

It is an arithmetic number, because the mean of its divisors is an integer number (854968296).

Almost surely, 221160456317 is an apocalyptic number.

It is an amenable number.

21160456317 is a deficient number, since it is larger than the sum of its proper divisors (19878021891).

21160456317 is a wasteful number, since it uses less digits than its factorization.

21160456317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348850 (or 2348847 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 21160456317 in words is "twenty-one billion, one hundred sixty million, four hundred fifty-six thousand, three hundred seventeen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 2348813 7046439 16441691 21139317 25836943 30534569 49325073 77510829 91603707 147975219 180858601 213741983 232532487 274811121 335880259 542575803 641225949 1007640777 1627727409 1923677847 2351161813 3022922331 7053485439 21160456317