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1136139808752 = 243513175973307
BaseRepresentation
bin10000100010000111001…
…101011010111111110000
311000121120112111021100000
4100202013031122333300
5122103303242340002
62225534015030000
7145040414014314
oct20420715327760
94017515437300
101136139808752
113a891a337233
12164236b0b300
13831a31aa3b0
143cdbd115b44
151e84862c61c
hex1088735aff0

1136139808752 has 960 divisors, whose sum is σ = 3888636111360. Its totient is φ = 317971464192.

The previous prime is 1136139808631. The next prime is 1136139808753. The reversal of 1136139808752 is 2578089316311.

1136139808752 is a `hidden beast` number, since 1 + 13 + 613 + 9 + 8 + 0 + 8 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×11361398087522 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136139808753) 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, 3700780983 + ... + 3700781289.

It is an arithmetic number, because the mean of its divisors is an integer number (4050662616).

Almost surely, 21136139808752 is an apocalyptic number.

1136139808752 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 1136139808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944318055680).

1136139808752 is an abundant number, since it is smaller than the sum of its proper divisors (2752496302608).

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

1136139808752 is a wasteful number, since it uses less digits than its factorization.

1136139808752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1136139808752 in words is "one trillion, one hundred thirty-six billion, one hundred thirty-nine million, eight hundred eight thousand, seven hundred fifty-two".