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136716826080 = 25351747356479
BaseRepresentation
bin111111101010011110…
…1010011010111100000
3111001220000211100211010
41333110331103113200
54214444001413310
6142450140020520
712606653563452
oct1772475232740
9431800740733
10136716826080
1152a880a1a6a
12225b6231740
13cb7a621533
14688d5922d2
153852894320
hex1fd4f535e0

136716826080 has 192 divisors, whose sum is σ = 465694064640. Its totient is φ = 33583079424.

The previous prime is 136716826049. The next prime is 136716826111. The reversal of 136716826080 is 80628617631.

It is an interprime number because it is at equal distance from previous prime (136716826049) and next prime (136716826111).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205281 + ... + 561759.

It is an arithmetic number, because the mean of its divisors is an integer number (2425489920).

Almost surely, 2136716826080 is an apocalyptic number.

136716826080 is a gapful number since it is divisible by the number (10) 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 136716826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232847032320).

136716826080 is an abundant number, since it is smaller than the sum of its proper divisors (328977238560).

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

136716826080 is a wasteful number, since it uses less digits than its factorization.

136716826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356561 (or 356553 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 136716826080 in words is "one hundred thirty-six billion, seven hundred sixteen million, eight hundred twenty-six thousand, eighty".