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107559798178816 = 2103240972
BaseRepresentation
bin11000011101001100110111…
…100100000000010000000000
3112002211121122021022110001001
4120131030313210000100000
5103044224431313210231
61020432142242021344
731440640032335644
oct3035146744002000
9462747567273031
10107559798178816
11312a9943aa2805
1210091986947854
134802acb5a52a9
141c7bcc9dc6c24
15c67d2578ab61
hex61d337900400

107559798178816 has 33 divisors (see below), whose sum is σ = 215015220920829. Its totient is φ = 53779733151744.

The previous prime is 107559798178697. The next prime is 107559798178939. The reversal of 107559798178816 is 618871897955701.

The square root of 107559798178816 is 10371104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112144614400 + 107447653564416 = 334880^2 + 10365696^2 .

It is a super-2 number, since 2×1075597981788162 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107559798178816.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 331713280 + ... + 332037376.

Almost surely, 2107559798178816 is an apocalyptic number.

107559798178816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107559798178816 is the 10371104-th square number.

It is an amenable number.

107559798178816 is a deficient number, since it is larger than the sum of its proper divisors (107455422742013).

107559798178816 is an frugal number, since it uses more digits than its factorization.

107559798178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648214 (or 324099 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 82.

The spelling of 107559798178816 in words is "one hundred seven trillion, five hundred fifty-nine billion, seven hundred ninety-eight million, one hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 324097 648194 1296388 2592776 5185552 10371104 20742208 41484416 82968832 165937664 331875328 105038865409 210077730818 420155461636 840310923272 1680621846544 3361243693088 6722487386176 13444974772352 26889949544704 53779899089408 107559798178816