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118693962842112 = 2173672101251
BaseRepresentation
bin11010111111001110010111…
…011111100000000000000000
3120120021000212100110012000000
4122333032113133200000000
5111024140213441421422
61100235130452000000
734000233022414200
oct3277162737400000
9516230770405000
10118693962842112
1134901910751a39
121138b828000000
13512ca3c656778
142144b65ba2400
15dac780707cac
hex6bf3977e0000

118693962842112 has 1512 divisors, whose sum is σ = 419791842889272. Its totient is φ = 33443020800000.

The previous prime is 118693962842089. The next prime is 118693962842159. The reversal of 118693962842112 is 211248269396811.

118693962842112 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 9 + 396 + 28 + 4 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 118693962842112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 472884313987 + ... + 472884314237.

It is an arithmetic number, because the mean of its divisors is an integer number (277640107731).

Almost surely, 2118693962842112 is an apocalyptic number.

118693962842112 is a gapful number since it is divisible by the number (12) 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 118693962842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209895921444636).

118693962842112 is an abundant number, since it is smaller than the sum of its proper divisors (301097880047160).

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

118693962842112 is an frugal number, since it uses more digits than its factorization.

118693962842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 364 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 118693962842112 in words is "one hundred eighteen trillion, six hundred ninety-three billion, nine hundred sixty-two million, eight hundred forty-two thousand, one hundred twelve".