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16870355172 = 223211293145399
BaseRepresentation
bin11111011011000110…
…10011000011100100
31121112201112211122100
433231203103003210
5234022302331142
611430010132100
71135030436646
oct175543230344
947481484570
1016870355172
11717796a5a0
123329a21030
13178b1a04a8
14b607b2896
1568b118b4c
hex3ed8d30e4

16870355172 has 72 divisors (see below), whose sum is σ = 46680379200. Its totient is φ = 5094745920.

The previous prime is 16870355141. The next prime is 16870355213. The reversal of 16870355172 is 27155307861.

It is a happy number.

16870355172 is a `hidden beast` number, since 1 + 68 + 70 + 3 + 5 + 517 + 2 = 666.

It is a super-3 number, since 3×168703551723 (a number of 32 digits) contains 333 as substring.

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, 43329 + ... + 188727.

It is an arithmetic number, because the mean of its divisors is an integer number (648338600).

Almost surely, 216870355172 is an apocalyptic number.

16870355172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16870355172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340189600).

16870355172 is an abundant number, since it is smaller than the sum of its proper divisors (29810024028).

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

16870355172 is a wasteful number, since it uses less digits than its factorization.

16870355172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145713 (or 145708 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 16870355172 in words is "sixteen billion, eight hundred seventy million, three hundred fifty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 879 1172 1758 2637 3223 3516 5274 6446 9669 10548 12892 19338 29007 38676 58014 116028 145399 290798 436197 581596 872394 1308591 1599389 1744788 2617182 3198778 4798167 5234364 6397556 9596334 14394501 19192668 28789002 42601907 57578004 85203814 127805721 170407628 255611442 383417163 468620977 511222884 766834326 937241954 1405862931 1533668652 1874483908 2811725862 4217588793 5623451724 8435177586 16870355172