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16001601561 = 32112236011063
BaseRepresentation
bin11101110011100010…
…10001000000011001
31112022011211120201200
432321301101000121
5230232402222221
611203453504413
71104351240411
oct167161210031
945264746650
1016001601561
11687153a100
123126aa2109
1316801c71ba
14abb26b641
15639c10426
hex3b9c51019

16001601561 has 72 divisors (see below), whose sum is σ = 26579349888. Its totient is φ = 9252144000.

The previous prime is 16001601559. The next prime is 16001601569. The reversal of 16001601561 is 16510610061.

16001601561 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 1 + 601 + 56 + 1 = 666.

It is not a de Polignac number, because 16001601561 - 21 = 16001601559 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16001601569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15052716 + ... + 15053778.

Almost surely, 216001601561 is an apocalyptic number.

16001601561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16001601561 is a deficient number, since it is larger than the sum of its proper divisors (10577748327).

16001601561 is a wasteful number, since it uses less digits than its factorization.

16001601561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 16001601561 in words is "sixteen billion, one million, six hundred one thousand, five hundred sixty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 601 759 1063 1089 1803 2277 2783 3189 5409 6611 8349 9567 11693 13823 19833 24449 25047 35079 41469 59499 72721 73347 105237 124407 128623 152053 218163 220041 268939 385869 456159 638863 654489 806817 1157607 1368477 1672583 1916589 2420451 2958329 5017749 5749767 7027493 8874987 14693849 15053247 21082479 26624961 44081547 63247437 77302423 132244641 161632339 231907269 484897017 695721807 1454691051 1777955729 5333867187 16001601561