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16676085564 = 22323122765827
BaseRepresentation
bin11111000011111100…
…01101111100111100
31121001011222220211200
433201332031330330
5233123034214224
611354430215500
71130151250155
oct174176157474
947034886750
1016676085564
1170882409a6
123294954590
131759b71568
14b42a8292c
156790425c9
hex3e1f8df3c

16676085564 has 72 divisors (see below), whose sum is σ = 43705579008. Its totient is φ = 5355603360.

The previous prime is 16676085521. The next prime is 16676085581. The reversal of 16676085564 is 46558067661.

16676085564 is a `hidden beast` number, since 1 + 6 + 6 + 76 + 0 + 8 + 5 + 564 = 666.

It is a super-3 number, since 3×166760855643 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16676085564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220419 + ... + 286245.

Almost surely, 216676085564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16676085564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852789504).

16676085564 is an abundant number, since it is smaller than the sum of its proper divisors (27029493444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16676085564 is a wasteful number, since it uses less digits than its factorization.

16676085564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66095 (or 66090 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16676085564 in words is "sixteen billion, six hundred seventy-six million, eighty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 227 279 372 454 558 681 908 1116 1362 2043 2724 4086 7037 8172 14074 21111 28148 42222 63333 65827 84444 126666 131654 197481 253332 263308 394962 592443 789924 1184886 2040637 2369772 4081274 6121911 8162548 12243822 14942729 18365733 24487644 29885458 36731466 44828187 59770916 73462932 89656374 134484561 179312748 268969122 463224599 537938244 926449198 1389673797 1852898396 2779347594 4169021391 5558695188 8338042782 16676085564