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136070873760 = 253510913119853
BaseRepresentation
bin111111010111001110…
…1001100001010100000
3111000020000100120211010
41332232131030022200
54212133120430020
6142302103020520
712554651225523
oct1765635141240
9430200316733
10136070873760
1152786508478
1222455a3a740
13caa6856a23
14682b886bba
153815ceade0
hex1fae74c2a0

136070873760 has 192 divisors, whose sum is σ = 435879480960. Its totient is φ = 35676426240.

The previous prime is 136070873749. The next prime is 136070873767. The reversal of 136070873760 is 67378070631.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (136070873767) 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 31 ways as a sum of consecutive naturals, for example, 6843994 + ... + 6863846.

It is an arithmetic number, because the mean of its divisors is an integer number (2270205630).

Almost surely, 2136070873760 is an apocalyptic number.

136070873760 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 136070873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217939740480).

136070873760 is an abundant number, since it is smaller than the sum of its proper divisors (299808607200).

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

136070873760 is a wasteful number, since it uses less digits than its factorization.

136070873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20111 (or 20103 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 136070873760 in words is "one hundred thirty-six billion, seventy million, eight hundred seventy-three thousand, seven hundred sixty".