Search a number
-
+
107536105420040 = 23511972125141471
BaseRepresentation
bin11000011100110110110011…
…010111010011010100001000
3112002202100111002012121001202
4120130312303113103110020
5103043332420441420130
61020413223240003332
731436140640244323
oct3034666327232410
9462670432177052
10107536105420040
113129a89605a430
1210089274160548
1348007c3b409bb
141c7aabd4c77ba
15c673da739145
hex61cdb35d3508

107536105420040 has 64 divisors (see below), whose sum is σ = 263979422046720. Its totient is φ = 39100014144000.

The previous prime is 107536105420021. The next prime is 107536105420097. The reversal of 107536105420040 is 40024501635701.

It is a junction number, because it is equal to n+sod(n) for n = 107536105419976 and 107536105420003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8293496 + ... + 16847975.

It is an arithmetic number, because the mean of its divisors is an integer number (4124678469480).

Almost surely, 2107536105420040 is an apocalyptic number.

107536105420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107536105420040 is an abundant number, since it is smaller than the sum of its proper divisors (156443316626680).

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

107536105420040 is a wasteful number, since it uses less digits than its factorization.

107536105420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151214 (or 25151210 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 107536105420040 in words is "one hundred seven trillion, five hundred thirty-six billion, one hundred five million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9721 19442 38884 48605 77768 97210 106931 194420 213862 388840 427724 534655 855448 1069310 2138620 4277240 25141471 50282942 100565884 125707355 201131768 251414710 276556181 502829420 553112362 1005658840 1106224724 1382780905 2212449448 2765561810 5531123620 11062247240 244400239591 488800479182 977600958364 1222001197955 1955201916728 2444002395910 2688402635501 4888004791820 5376805271002 9776009583640 10753610542004 13442013177505 21507221084008 26884026355010 53768052710020 107536105420040