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136807706342463 = 31319359930343231
BaseRepresentation
bin11111000110110100000110…
…101111010011010000111111
3122221101200121021112100010220
4133012310012233103100333
5120412424140310424323
61202544332003032423
740550013332642502
oct3706640657232077
9587350537470126
10136807706342463
113a65590572a542
121341630006b713
135b44bb03177b0
1425ad7579b9139
1510c3a381640e3
hex7c6d06bd343f

136807706342463 has 32 divisors (see below), whose sum is σ = 197789323468800. Its totient is φ = 83613319096320.

The previous prime is 136807706342443. The next prime is 136807706342477. The reversal of 136807706342463 is 364243607708631.

It is not a de Polignac number, because 136807706342463 - 218 = 136807706080319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136807706342397 and 136807706342406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136807706342443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10662943 + ... + 19680288.

It is an arithmetic number, because the mean of its divisors is an integer number (6180916358400).

Almost surely, 2136807706342463 is an apocalyptic number.

136807706342463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

136807706342463 is a deficient number, since it is larger than the sum of its proper divisors (60981617126337).

136807706342463 is a wasteful number, since it uses less digits than its factorization.

136807706342463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344039.

The product of its (nonzero) digits is 73156608, while the sum is 60.

The spelling of 136807706342463 in words is "one hundred thirty-six trillion, eight hundred seven billion, seven hundred six million, three hundred forty-two thousand, four hundred sixty-three".

Divisors: 1 3 13 39 193 579 599 1797 2509 7527 7787 23361 115607 346821 1502891 4508673 30343231 91029693 394462003 1183386009 5856243583 17568730749 18175595369 54526786107 76131166579 228393499737 236282739797 708848219391 3507889906217 10523669718651 45602568780821 136807706342463