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118195990560 = 2534513616701
BaseRepresentation
bin110111000010100000…
…1111011000000100000
3102022002021121102210000
41232011001323000200
53414031133144220
6130144250140000
711353002225444
oct1560501730040
9368067542700
10118195990560
114614361212a
121aaa7721600
13b1b852236b
145a13908824
15311b909390
hex1b8507b020

118195990560 has 240 divisors, whose sum is σ = 417502135512. Its totient is φ = 31491072000.

The previous prime is 118195990489. The next prime is 118195990589. The reversal of 118195990560 is 65099591811.

118195990560 is a `hidden beast` number, since 1 + 18 + 19 + 59 + 9 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69956018064 + 48239972496 = 264492^2 + 219636^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1181959905602 (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 a junction number, because it is equal to n+sod(n) for n = 118195990497 and 118195990506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17635210 + ... + 17641910.

Almost surely, 2118195990560 is an apocalyptic number.

118195990560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118195990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208751067756).

118195990560 is an abundant number, since it is smaller than the sum of its proper divisors (299306144952).

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

118195990560 is a wasteful number, since it uses less digits than its factorization.

118195990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8089 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 118195990560 in words is "one hundred eighteen billion, one hundred ninety-five million, nine hundred ninety thousand, five hundred sixty".