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136192894355232 = 25361113219672467
BaseRepresentation
bin11110111101110111100001…
…000101101100011100100000
3122212012220122222022101000000
4132331313201011230130200
5120322341021423331412
61201354052452300000
740454416612165311
oct3675674105543440
9585186588271000
10136192894355232
113a43909a35a790
1213337118911600
135acbc1ca8c300
14258bab2492608
1510b2a52c6e4dc
hex7bdde116c720

136192894355232 has 2016 divisors, whose sum is σ = 507547988478720. Its totient is φ = 35537785620480.

The previous prime is 136192894355207. The next prime is 136192894355249. The reversal of 136192894355232 is 232553498291631.

136192894355232 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 9 + 2 + 8 + 9 + 43 + 552 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136192894355232.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 55205874063 + ... + 55205876529.

It is an arithmetic number, because the mean of its divisors is an integer number (251759914920).

Almost surely, 2136192894355232 is an apocalyptic number.

136192894355232 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 136192894355232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253773994239360).

136192894355232 is an abundant number, since it is smaller than the sum of its proper divisors (371355094123488).

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

136192894355232 is a wasteful number, since it uses less digits than its factorization.

136192894355232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2582 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 136192894355232 in words is "one hundred thirty-six trillion, one hundred ninety-two billion, eight hundred ninety-four million, three hundred fifty-five thousand, two hundred thirty-two".