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16424905680 = 2433519400217
BaseRepresentation
bin11110100110000000…
…00010101111010000
31120101200100122211000
433103000002233100
5232114233440210
611313454422000
71121011252251
oct172300025720
946350318730
1016424905680
116a69481817
123224801900
131719b07b01
14b1b57ab28
15661e78ac0
hex3d3002bd0

16424905680 has 160 divisors (see below), whose sum is σ = 59552438400. Its totient is φ = 4149439488.

The previous prime is 16424905649. The next prime is 16424905687. The reversal of 16424905680 is 8650942461.

16424905680 is a `hidden beast` number, since 1 + 6 + 42 + 49 + 0 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424905687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159069 + ... + 241148.

It is an arithmetic number, because the mean of its divisors is an integer number (372202740).

Almost surely, 216424905680 is an apocalyptic number.

16424905680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16424905680 is an abundant number, since it is smaller than the sum of its proper divisors (43127532720).

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

16424905680 is a wasteful number, since it uses less digits than its factorization.

16424905680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400258 (or 400246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16424905680 in words is "sixteen billion, four hundred twenty-four million, nine hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 400217 800434 1200651 1600868 2001085 2401302 3201736 3601953 4002170 4802604 6003255 6403472 7203906 7604123 8004340 9605208 10805859 12006510 14407812 15208246 16008680 18009765 19210416 21611718 22812369 24013020 28815624 30416492 32017360 36019530 38020615 43223436 45624738 48026040 54029295 57631248 60832984 68437107 72039060 76041230 86446872 91249476 96052080 108058590 114061845 121665968 136874214 144078120 152082460 172893744 182498952 205311321 216117180 228123690 273748428 288156240 304164920 342185535 364997904 410622642 432234360 456247380 547496856 608329840 684371070 821245284 864468720 912494760 1026556605 1094993712 1368742140 1642490568 1824989520 2053113210 2737484280 3284981136 4106226420 5474968560 8212452840 16424905680