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136775056320 = 26325725318287
BaseRepresentation
bin111111101100001101…
…1011011101111000000
3111002001002101202200200
41333120123123233000
54220103403300240
6142500020045200
712611261540100
oct1773033335700
9432032352620
10136775056320
1153007a54231
1222611833800
13cb896cbab6
1468971cd200
153857a47930
hex1fd86dbbc0

136775056320 has 504 divisors, whose sum is σ = 557613336384. Its totient is φ = 30671327232.

The previous prime is 136775056289. The next prime is 136775056339. The reversal of 136775056320 is 23650577631.

136775056320 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 7 + 5 + 0 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7470217 + ... + 7488503.

Almost surely, 2136775056320 is an apocalyptic number.

136775056320 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 136775056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278806668192).

136775056320 is an abundant number, since it is smaller than the sum of its proper divisors (420838280064).

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

136775056320 is a wasteful number, since it uses less digits than its factorization.

136775056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18377 (or 18357 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 136775056320 in words is "one hundred thirty-six billion, seven hundred seventy-five million, fifty-six thousand, three hundred twenty".