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135484096464 = 24321317182151
BaseRepresentation
bin111111000101101111…
…0110011111111010000
3110221201010020012200200
41332023132303333100
54204432412041324
6142123542215200
712534264550533
oct1761336637720
9427633205620
10135484096464
1152505270a62
1222311424500
13ca1210a822
1467b3982a1a
1537ce540ec9
hex1f8b7b3fd0

135484096464 has 60 divisors (see below), whose sum is σ = 382061757792. Its totient is φ = 44816616000.

The previous prime is 135484096459. The next prime is 135484096487. The reversal of 135484096464 is 464690484531.

135484096464 is a `hidden beast` number, since 1 + 3 + 54 + 8 + 40 + 96 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135484096464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3572212 + ... + 3609939.

Almost surely, 2135484096464 is an apocalyptic number.

It is an amenable number.

135484096464 is an abundant number, since it is smaller than the sum of its proper divisors (246577661328).

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

135484096464 is a wasteful number, since it uses less digits than its factorization.

135484096464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182296 (or 7182287 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 135484096464 in words is "one hundred thirty-five billion, four hundred eighty-four million, ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 7182151 14364302 21546453 28728604 43092906 57457208 64639359 86185812 114914416 129278718 172371624 258557436 344743248 517114872 940861781 1034229744 1881723562 2822585343 3763447124 5645170686 7526894248 8467756029 11290341372 15053788496 16935512058 22580682744 33871024116 45161365488 67742048232 135484096464