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135312644246076 = 223211547962365139
BaseRepresentation
bin11110110001000011101110…
…000110000000101000111100
3122202002202120211102200202100
4132301003232012000220330
5120213430243411333301
61155441434241425100
740334005315543413
oct3661035606005074
9582082524380670
10135312644246076
113a1298520a1230
12132145b693b190
135a66c09c2a85b
14255b24a08847a
151099bd4557286
hex7b10ee180a3c

135312644246076 has 72 divisors (see below), whose sum is σ = 373202976182400. Its totient is φ = 40996347115680.

The previous prime is 135312644246023. The next prime is 135312644246093. The reversal of 135312644246076 is 670642446213531.

135312644246076 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 2 + 6 + 4 + 4 + 24 + 607 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29012886 + ... + 33352253.

It is an arithmetic number, because the mean of its divisors is an integer number (5183374669200).

Almost surely, 2135312644246076 is an apocalyptic number.

It is an amenable number.

135312644246076 is an abundant number, since it is smaller than the sum of its proper divisors (237890331936324).

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

135312644246076 is a wasteful number, since it uses less digits than its factorization.

135312644246076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62370639 (or 62370634 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 135312644246076 in words is "one hundred thirty-five trillion, three hundred twelve billion, six hundred forty-four million, two hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5479 10958 16437 21916 32874 49311 60269 65748 98622 120538 180807 197244 241076 361614 542421 723228 1084842 2169684 62365139 124730278 187095417 249460556 374190834 561286251 686016529 748381668 1122572502 1372033058 2058049587 2245145004 2744066116 4116099174 6174148761 8232198348 12348297522 24696595044 341698596581 683397193162 1025095789743 1366794386324 2050191579486 3075287369229 3758684562391 4100383158972 6150574738458 7517369124782 11276053687173 12301149476916 15034738249564 22552107374346 33828161061519 45104214748692 67656322123038 135312644246076