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136380016512 = 2732118385431
BaseRepresentation
bin111111100000011100…
…0011110011110000000
3111001000120001122221200
41333000320132132000
54213301241012022
6142352505021200
712565424004405
oct1770070363600
9431016048850
10136380016512
1152924a66a53
1222521484800
13cb2590612c
14685a95a2ac
153833013bac
hex1fc0e1e780

136380016512 has 48 divisors (see below), whose sum is σ = 392447707080. Its totient is φ = 45460005120.

The previous prime is 136380016511. The next prime is 136380016561. The reversal of 136380016512 is 215610083631.

136380016512 is a `hidden beast` number, since 1 + 3 + 63 + 80 + 0 + 1 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1363800165122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136380016511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59191564 + ... + 59193867.

Almost surely, 2136380016512 is an apocalyptic number.

136380016512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136380016512 is an abundant number, since it is smaller than the sum of its proper divisors (256067690568).

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

136380016512 is a wasteful number, since it uses less digits than its factorization.

136380016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118385451 (or 118385436 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 136380016512 in words is "one hundred thirty-six billion, three hundred eighty million, sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 118385431 236770862 355156293 473541724 710312586 947083448 1065468879 1420625172 1894166896 2130937758 2841250344 3788333792 4261875516 5682500688 7576667584 8523751032 11365001376 15153335168 17047502064 22730002752 34095004128 45460005504 68190008256 136380016512