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136711574496 = 25377299623
BaseRepresentation
bin111111101010010100…
…1010001001111100000
3111001212122221120000000
41333110221101033200
54214441130340441
6142445431300000
712606561131640
oct1772451211740
9431778846000
10136711574496
1152a85135412
12225b451a600
13cb795030a3
14688c9c6520
1538521a82b6
hex1fd4a513e0

136711574496 has 384 divisors, whose sum is σ = 477288806400. Its totient is φ = 37709618688.

The previous prime is 136711574407. The next prime is 136711574497. The reversal of 136711574496 is 694475117631.

It is a happy number.

136711574496 is a `hidden beast` number, since 1 + 3 + 6 + 71 + 15 + 74 + 496 = 666.

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 (136711574497) 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 63 ways as a sum of consecutive naturals, for example, 14201941 + ... + 14211563.

It is an arithmetic number, because the mean of its divisors is an integer number (1242939600).

Almost surely, 2136711574496 is an apocalyptic number.

136711574496 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 136711574496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238644403200).

136711574496 is an abundant number, since it is smaller than the sum of its proper divisors (340577231904).

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

136711574496 is an frugal number, since it uses more digits than its factorization.

136711574496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9664 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 136711574496 in words is "one hundred thirty-six billion, seven hundred eleven million, five hundred seventy-four thousand, four hundred ninety-six".