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118289916680640 = 26352329419746451
BaseRepresentation
bin11010111001010110000100…
…011101101101100111000000
3120111211101221200022111220220
4122321112010131231213000
5111001030222132240030
61055325345412303040
733626110256620065
oct3271260435554700
9514741850274826
10118289916680640
1134766521177641
1211325465911a80
1351008ca983853
14212d3964b0c6c
15da1ed39bba10
hex6b958476d9c0

118289916680640 has 896 divisors, whose sum is σ = 419592041809920. Its totient is φ = 28127920128000.

The previous prime is 118289916680581. The next prime is 118289916680651. The reversal of 118289916680640 is 46086619982811.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2546529415 + ... + 2546575865.

It is an arithmetic number, because the mean of its divisors is an integer number (468294689520).

Almost surely, 2118289916680640 is an apocalyptic number.

118289916680640 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 118289916680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209796020904960).

118289916680640 is an abundant number, since it is smaller than the sum of its proper divisors (301302125129280).

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

118289916680640 is a wasteful number, since it uses less digits than its factorization.

118289916680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46661 (or 46651 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 69.

The spelling of 118289916680640 in words is "one hundred eighteen trillion, two hundred eighty-nine billion, nine hundred sixteen million, six hundred eighty thousand, six hundred forty".