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137079651411 = 321512233831181
BaseRepresentation
bin111111110101010010…
…1010111110001010011
3111002211022112210121100
41333222211113301103
54221214342321121
6142550140355443
712621650545323
oct1775245276123
9432738483540
10137079651411
115315398700a
1222697845b83
13cc07848291
1468c583b283
153874663026
hex1fea957c53

137079651411 has 48 divisors (see below), whose sum is σ = 200901722112. Its totient is φ = 90061848000.

The previous prime is 137079651407. The next prime is 137079651413. The reversal of 137079651411 is 114156970731.

137079651411 is a `hidden beast` number, since 1 + 37 + 0 + 7 + 96 + 514 + 11 = 666.

It is not a de Polignac number, because 137079651411 - 22 = 137079651407 is a prime.

It is a super-2 number, since 2×1370796514112 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137079651413) 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 47 ways as a sum of consecutive naturals, for example, 116070241 + ... + 116071421.

It is an arithmetic number, because the mean of its divisors is an integer number (4185452544).

Almost surely, 2137079651411 is an apocalyptic number.

137079651411 is a deficient number, since it is larger than the sum of its proper divisors (63822070701).

137079651411 is a wasteful number, since it uses less digits than its factorization.

137079651411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 137079651411 in words is "one hundred thirty-seven billion, seventy-nine million, six hundred fifty-one thousand, four hundred eleven".

Divisors: 1 3 9 151 223 383 453 669 1149 1181 1359 2007 3447 3543 10629 33673 57833 85409 101019 173499 178331 256227 263363 303057 452323 520497 534993 768681 790089 1356969 1604979 2370267 4070907 12896759 38690277 39767813 68300773 100868029 116070831 119303439 204902319 302604087 357910317 614706957 907812261 15231072379 45693217137 137079651411