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16961426928 = 2432374767733
BaseRepresentation
bin11111100101111101…
…01101010111110000
31121210001220202121100
433302332231113300
5234214111130203
611443022124400
71140214515165
oct176276552760
947701822540
1016961426928
117214313106
123354420700
1317a40091c4
14b6c91c06c
15694107ea3
hex3f2fad5f0

16961426928 has 120 divisors (see below), whose sum is σ = 49789366848. Its totient is φ = 5383881216.

The previous prime is 16961426917. The next prime is 16961426947. The reversal of 16961426928 is 82962416961.

16961426928 is a `hidden beast` number, since 16 + 9 + 614 + 2 + 6 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 216550 + ... + 284282.

Almost surely, 216961426928 is an apocalyptic number.

16961426928 is a gapful number since it is divisible by the number (18) 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 16961426928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24894683424).

16961426928 is an abundant number, since it is smaller than the sum of its proper divisors (32827939920).

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

16961426928 is a wasteful number, since it uses less digits than its factorization.

16961426928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67831 (or 67822 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 16961426928 in words is "sixteen billion, nine hundred sixty-one million, four hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 141 144 148 188 222 282 296 333 376 423 444 564 592 666 752 846 888 1128 1332 1692 1739 1776 2256 2664 3384 3478 5217 5328 6768 6956 10434 13912 15651 20868 27824 31302 41736 62604 67733 83472 125208 135466 203199 250416 270932 406398 541864 609597 812796 1083728 1219194 1625592 2438388 2506121 3183451 3251184 4876776 5012242 6366902 7518363 9550353 9753552 10024484 12733804 15036726 19100706 20048968 22555089 25467608 28651059 30073452 38201412 40097936 45110178 50935216 57302118 60146904 76402824 90220356 114604236 117787687 120293808 152805648 180440712 229208472 235575374 353363061 360881424 458416944 471150748 706726122 942301496 1060089183 1413452244 1884602992 2120178366 2826904488 4240356732 5653808976 8480713464 16961426928