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119368114992 = 24347191734003
BaseRepresentation
bin110111100101011100…
…1001110001100110000
3102102002222011112020000
41233022321032030300
53423431214134432
6130500440550000
711424024144030
oct1571271161460
9372088145200
10119368114992
1146695209605
121b174182300
13b344306809
145ac545d8c0
15318978a57c
hex1bcae4e330

119368114992 has 400 divisors, whose sum is σ = 418129071360. Its totient is φ = 32115377664.

The previous prime is 119368114927. The next prime is 119368114997. The reversal of 119368114992 is 299411863911.

It is a happy number.

119368114992 is a `hidden beast` number, since 1 + 1 + 93 + 68 + 1 + 1 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (119368114997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29817663 + ... + 29821665.

Almost surely, 2119368114992 is an apocalyptic number.

119368114992 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 119368114992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209064535680).

119368114992 is an abundant number, since it is smaller than the sum of its proper divisors (298760956368).

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

119368114992 is a wasteful number, since it uses less digits than its factorization.

119368114992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4207 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 119368114992 in words is "one hundred nineteen billion, three hundred sixty-eight million, one hundred fourteen thousand, nine hundred ninety-two".