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17993354064 = 2437173150097
BaseRepresentation
bin10000110000011111…
…001100101101010000
31201102222200002111220
4100300133030231100
5243322244312224
612133244005040
71204614662130
oct206037145520
951388602456
1017993354064
1176a3863254
1235a1b30780
131909a4458a
14c299baac0
157049e4279
hex4307ccb50

17993354064 has 80 divisors (see below), whose sum is σ = 56248149888. Its totient is φ = 4838547456.

The previous prime is 17993354063. The next prime is 17993354069. The reversal of 17993354064 is 46045339971.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 17993353998 and 17993354016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17993354063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569337 + ... + 1580760.

Almost surely, 217993354064 is an apocalyptic number.

17993354064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

17993354064 is an abundant number, since it is smaller than the sum of its proper divisors (38254795824).

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

17993354064 is a wasteful number, since it uses less digits than its factorization.

17993354064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150132 (or 3150126 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 17993354064 in words is "seventeen billion, nine hundred ninety-three million, three hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 3150097 6300194 9450291 12600388 18900582 22050679 25200776 37801164 44101358 50401552 53551649 66152037 75602328 88202716 107103298 132304074 151204656 160654947 176405432 214206596 264608148 321309894 352810864 374861543 428413192 529216296 642619788 749723086 856826384 1058432592 1124584629 1285239576 1499446172 2249169258 2570479152 2998892344 4498338516 5997784688 8996677032 17993354064