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136734437631 = 31119283770591
BaseRepresentation
bin111111101011000000…
…0011111000011111111
3111001221020222010022210
41333112000133003333
54220013004001011
6142452005311503
712610256354211
oct1772600370377
9431836863283
10136734437631
1152a97030870
1222600105593
13cb8117977c
146891a585b1
1538541c26a6
hex1fd601f0ff

136734437631 has 32 divisors (see below), whose sum is σ = 210094202880. Its totient is φ = 78230296800.

The previous prime is 136734437573. The next prime is 136734437633.

136734437631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136734437631 - 225 = 136700883199 is a prime.

It is a super-2 number, since 2×1367344376312 (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 (136734437633) 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 31 ways as a sum of consecutive naturals, for example, 207855 + ... + 562736.

It is an arithmetic number, because the mean of its divisors is an integer number (6565443840).

Almost surely, 2136734437631 is an apocalyptic number.

136734437631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136734437631 is a deficient number, since it is larger than the sum of its proper divisors (73359765249).

136734437631 is a wasteful number, since it uses less digits than its factorization.

136734437631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770907.

The product of its digits is 2286144, while the sum is 48.

The spelling of 136734437631 in words is "one hundred thirty-six billion, seven hundred thirty-four million, four hundred thirty-seven thousand, six hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 283 627 849 3113 5377 9339 16131 59147 177441 770591 2311773 8476501 14641229 25429503 43923687 161053519 218077253 483160557 654231759 2398849783 4143467807 7196549349 12430403421 45578145877 136734437631