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136377315405 = 3253030607009
BaseRepresentation
bin111111100000010111…
…0001011000001001101
3111001000100222102201200
41333000232023001031
54213300043043110
6142352331100113
712565362024432
oct1770056130115
9431010872650
10136377315405
1152923491631
12225205a1639
13cb2519b846
14685a455b89
153832b7d6c0
hex1fc0b8b04d

136377315405 has 12 divisors (see below), whose sum is σ = 236387346780. Its totient is φ = 72734568192.

The previous prime is 136377315359. The next prime is 136377315413. The reversal of 136377315405 is 504513773631.

136377315405 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 77 + 31 + 540 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37269460809 + 99107854596 = 193053^2 + 314814^2 .

It is not a de Polignac number, because 136377315405 - 214 = 136377299021 is a prime.

It is a super-3 number, since 3×1363773154053 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3030607009 = 136377315405 / (1 + 3 + 6 + 3 + 7 + 7 + 3 + 1 + 5 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1515303460 + ... + 1515303549.

It is an arithmetic number, because the mean of its divisors is an integer number (19698945565).

Almost surely, 2136377315405 is an apocalyptic number.

136377315405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136377315405 is a deficient number, since it is larger than the sum of its proper divisors (100010031375).

136377315405 is a wasteful number, since it uses less digits than its factorization.

136377315405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030607020 (or 3030607017 counting only the distinct ones).

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

The spelling of 136377315405 in words is "one hundred thirty-six billion, three hundred seventy-seven million, three hundred fifteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 3030607009 9091821027 15153035045 27275463081 45459105135 136377315405