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136724746431 = 37131736780273
BaseRepresentation
bin111111101010101101…
…1100001000010111111
3111001220120201202111110
41333111123201002333
54220003013341211
6142451021453103
712610111112040
oct1772533410277
9431816652443
10136724746431
1152a91611709
12225b8a11193
13cb7c165630
1468906548c7
15385340aea6
hex1fd56e10bf

136724746431 has 64 divisors (see below), whose sum is σ = 238217269248. Its totient is φ = 67690487808.

The previous prime is 136724746357. The next prime is 136724746451. The reversal of 136724746431 is 134647427631.

It is not a de Polignac number, because 136724746431 - 217 = 136724615359 is a prime.

It is a super-2 number, since 2×1367247464312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136724746451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1663111 + ... + 1743383.

It is an arithmetic number, because the mean of its divisors is an integer number (3722144832).

Almost surely, 2136724746431 is an apocalyptic number.

136724746431 is a deficient number, since it is larger than the sum of its proper divisors (101492522817).

136724746431 is a wasteful number, since it uses less digits than its factorization.

136724746431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80680.

The product of its digits is 2032128, while the sum is 48.

The spelling of 136724746431 in words is "one hundred thirty-six billion, seven hundred twenty-four million, seven hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 367 663 1101 1547 2569 4641 4771 6239 7707 14313 18717 33397 43673 80273 81107 100191 131019 240819 243321 561911 567749 1043549 1364641 1685733 1703247 3130647 4093923 7304843 9552487 17740333 21914529 28657461 29460191 53220999 88380573 124182331 206221337 372546993 382982483 500823247 618664011 1148947449 1502469741 2680877381 3505762729 6510702211 8042632143 10517288187 19532106633 45574915477 136724746431