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116981758440 = 2334536105481
BaseRepresentation
bin110110011110010100…
…1111111100111101000
3102011221122211001110000
41230330221333213220
53404034312232230
6125423553023000
711310626353221
oct1547451774750
9364848731400
10116981758440
1145680175608
121a808b54a60
13b053ab6c11
14593a552248
15309a00bb60
hex1b3ca7f9e8

116981758440 has 80 divisors (see below), whose sum is σ = 393188698980. Its totient is φ = 31195134720.

The previous prime is 116981758433. The next prime is 116981758447. The reversal of 116981758440 is 44857189611.

116981758440 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 8 + 17 + 584 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (116981758433) and next prime (116981758447).

It can be written as a sum of positive squares in 2 ways, for example, as 113578436196 + 3403322244 = 337014^2 + 58338^2 .

It is a super-2 number, since 2×1169817584402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116981758447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18049501 + ... + 18055980.

Almost surely, 2116981758440 is an apocalyptic number.

116981758440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116981758440 is an abundant number, since it is smaller than the sum of its proper divisors (276206940540).

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

116981758440 is a wasteful number, since it uses less digits than its factorization.

116981758440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36105504 (or 36105491 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 116981758440 in words is "one hundred sixteen billion, nine hundred eighty-one million, seven hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 36105481 72210962 108316443 144421924 180527405 216632886 288843848 324949329 361054810 433265772 541582215 649898658 722109620 866531544 974847987 1083164430 1299797316 1444219240 1624746645 1949695974 2166328860 2599594632 2924543961 3249493290 3899391948 4332657720 4874239935 5849087922 6498986580 7798783896 9748479870 11698175844 12997973160 14622719805 19496959740 23396351688 29245439610 38993919480 58490879220 116981758440