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135116749003614 = 23715793821533213
BaseRepresentation
bin11110101110001101010001…
…110100111101101101011110
3122201102000221112222022000220
4132232031101310331231132
5120202223100221103424
61155211435542502210
740313601666501510
oct3656152164755536
9581360845868026
10135116749003614
113a063767365134
12131a2645a34966
135a515bb14b1c1
1425519851c9bb0
151094a6b64c579
hex7ae351d3db5e

135116749003614 has 64 divisors (see below), whose sum is σ = 309115331965440. Its totient is φ = 38570167290240.

The previous prime is 135116749003601. The next prime is 135116749003631. The reversal of 135116749003614 is 416300947611531.

It is a super-2 number, since 2×1351167490036142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253134472 + ... + 253667684.

It is an arithmetic number, because the mean of its divisors is an integer number (4829927061960).

Almost surely, 2135116749003614 is an apocalyptic number.

135116749003614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135116749003614 is an abundant number, since it is smaller than the sum of its proper divisors (173998582961826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135116749003614 is a wasteful number, since it uses less digits than its factorization.

135116749003614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538625.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 135116749003614 in words is "one hundred thirty-five trillion, one hundred sixteen billion, seven hundred forty-nine million, three thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 1579 3158 3821 4737 7642 9474 11053 11463 22106 22926 26747 33159 53494 66318 80241 160482 533213 1066426 1599639 3199278 3732491 6033359 7464982 11197473 12066718 18100077 22394946 36200154 42233513 84467026 126700539 253401078 841943327 1683886654 2037406873 2525829981 4074813746 5051659962 5893603289 6112220619 11787206578 12224441238 14261848111 17680809867 28523696222 35361619734 42785544333 85571088666 3217065452467 6434130904934 9651196357401 19302392714802 22519458167269 45038916334538 67558374501807 135116749003614