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136405726704 = 24331341214449
BaseRepresentation
bin111111100001001101…
…0100011010111110000
3111001002100102212201000
41333002122203113300
54213324331223304
6142355224042000
712566155355262
oct1770232432760
9431070385630
10136405726704
1152938527445
122252a003300
13cb2b038670
14686012db32
1538353e1939
hex1fc26a35f0

136405726704 has 240 divisors, whose sum is σ = 432217996000. Its totient is φ = 40944476160.

The previous prime is 136405726703. The next prime is 136405726739. The reversal of 136405726704 is 407627504631.

136405726704 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 572 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136405726704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136405726703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9433272 + ... + 9447720.

Almost surely, 2136405726704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136405726704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216108998000).

136405726704 is an abundant number, since it is smaller than the sum of its proper divisors (295812269296).

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

136405726704 is a wasteful number, since it uses less digits than its factorization.

136405726704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 136405726704 in words is "one hundred thirty-six billion, four hundred five million, seven hundred twenty-six thousand, seven hundred four".