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136699420395888 = 243372311276432551
BaseRepresentation
bin11111000101001111010000…
…011001001100100101110000
3122221000100002122102022001000
4133011033100121030211300
5120404140403110132023
61202422502523242000
740536131033405400
oct3705172031144560
9587010078368030
10136699420395888
113a613998081109
12133b931b379300
135b37913c779ac
1425a84042d8800
1510c0ceb799243
hex7c53d064c970

136699420395888 has 960 divisors, whose sum is σ = 475798453616640. Its totient is φ = 37426463424000.

The previous prime is 136699420395883. The next prime is 136699420395947. The reversal of 136699420395888 is 888593024996631.

136699420395888 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 9 + 9 + 4 + 20 + 3 + 9 + 588 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136699420395883) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53586600213 + ... + 53586602763.

It is an arithmetic number, because the mean of its divisors is an integer number (495623389184).

Almost surely, 2136699420395888 is an apocalyptic number.

136699420395888 is a gapful number since it is divisible by the number (18) 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 136699420395888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237899226808320).

136699420395888 is an abundant number, since it is smaller than the sum of its proper divisors (339099033220752).

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

136699420395888 is a wasteful number, since it uses less digits than its factorization.

136699420395888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

The spelling of 136699420395888 in words is "one hundred thirty-six trillion, six hundred ninety-nine billion, four hundred twenty million, three hundred ninety-five thousand, eight hundred eighty-eight".