Search a number
-
+
18831117312 = 210327291901
BaseRepresentation
bin10001100010011011…
…000000110000000000
31210121101001212122100
4101202123000300000
5302031231223222
612352332110400
71234436566440
oct214233006000
953541055570
1018831117312
117a93747177
123796605400
131a11489b87
14ca8d76120
1575332a4ac
hex4626c0c00

18831117312 has 132 divisors (see below), whose sum is σ = 62142432976. Its totient is φ = 5380300800.

The previous prime is 18831117299. The next prime is 18831117343. The reversal of 18831117312 is 21371113881.

18831117312 is a `hidden beast` number, since 18 + 8 + 311 + 17 + 312 = 666.

It is a super-2 number, since 2×188311173122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81439 + ... + 210462.

Almost surely, 218831117312 is an apocalyptic number.

18831117312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18831117312 is an abundant number, since it is smaller than the sum of its proper divisors (43311315664).

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

18831117312 is a wasteful number, since it uses less digits than its factorization.

18831117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291934 (or 291913 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The spelling of 18831117312 in words is "eighteen billion, eight hundred thirty-one million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 291901 583802 875703 1167604 1751406 2043307 2335208 2627109 3502812 4086614 4670416 5254218 6129921 7005624 8173228 9340832 10508436 12259842 14011248 16346456 18389763 18681664 21016872 24519684 28022496 32692912 36779526 37363328 42033744 49039368 56044992 65385824 73559052 74726656 84067488 98078736 112089984 130771648 147118104 149453312 168134976 196157472 224179968 261543296 294236208 298906624 336269952 392314944 448359936 523086592 588472416 672539904 784629888 896719872 1046173184 1176944832 1345079808 1569259776 2092346368 2353889664 2690159616 3138519552 4707779328 6277039104 9415558656 18831117312