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1368629136 = 24347592557
BaseRepresentation
bin101000110010011…
…1001111110010000
310112101022120020000
41101210321332100
510300332113021
6343450250000
745626104260
oct12144717620
93471276200
101368629136
11642612366
12322426900
1318a716834
14cdaa77a0
1580249b26
hex51939f90

1368629136 has 200 divisors, whose sum is σ = 4605627840. Its totient is φ = 384258816.

The previous prime is 1368629063. The next prime is 1368629153. The reversal of 1368629136 is 6319268631.

1368629136 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 629 + 13 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1368629091 and 1368629100.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 533970 + ... + 536526.

Almost surely, 21368629136 is an apocalyptic number.

1368629136 is a gapful number since it is divisible by the number (16) 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 1368629136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302813920).

1368629136 is an abundant number, since it is smaller than the sum of its proper divisors (3236998704).

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

1368629136 is a wasteful number, since it uses less digits than its factorization.

1368629136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2628 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1368629136 is about 36994.9879848609. The cubic root of 1368629136 is about 1110.2699708562.

The spelling of 1368629136 in words is "one billion, three hundred sixty-eight million, six hundred twenty-nine thousand, one hundred thirty-six".