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16345186116 = 2237414999511
BaseRepresentation
bin11110011100011111…
…11011111101000100
31120012010100111010120
433032033323331010
5231433331423431
611301530021540
71116022534560
oct171617737504
946163314116
1016345186116
116a28482286
123201b778b0
13170644527c
14b10b486a0
15659e7d196
hex3ce3fbf44

16345186116 has 96 divisors (see below), whose sum is σ = 44744448000. Its totient is φ = 4546540800.

The previous prime is 16345186097. The next prime is 16345186147. The reversal of 16345186116 is 61168154361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713801 + ... + 1723311.

It is an arithmetic number, because the mean of its divisors is an integer number (466088000).

Almost surely, 216345186116 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 16345186116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372224000).

16345186116 is an abundant number, since it is smaller than the sum of its proper divisors (28399261884).

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

16345186116 is a wasteful number, since it uses less digits than its factorization.

16345186116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10063 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 16345186116 in words is "sixteen billion, three hundred forty-five million, one hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 499 574 861 998 1148 1497 1722 1996 2994 3444 3493 5988 6986 9511 10479 13972 19022 20459 20958 28533 38044 40918 41916 57066 61377 66577 81836 114132 122754 133154 143213 199731 245508 266308 286426 389951 399462 429639 572852 779902 798924 859278 1169853 1559804 1718556 2339706 2729657 4679412 4745989 5459314 8188971 9491978 10918628 14237967 16377942 18983956 28475934 32755884 33221923 56951868 66443846 99665769 132887692 194585549 199331538 389171098 398663076 583756647 778342196 1167513294 1362098843 2335026588 2724197686 4086296529 5448395372 8172593058 16345186116