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135404420544 = 2632235077119
BaseRepresentation
bin111111000011010111…
…0110111110111000000
3110221111120022020212200
41332012232313313000
54204302012424134
6142112014353200
712532306404321
oct1760656676700
9427446266780
10135404420544
11524742a1298
12222aa7bb800
13c9cb761b03
1467a7162448
1537c7553499
hex1f86bb7dc0

135404420544 has 42 divisors (see below), whose sum is σ = 388112325120. Its totient is φ = 45134806656.

The previous prime is 135404420533. The next prime is 135404420551. The reversal of 135404420544 is 445024404531.

135404420544 is a `hidden beast` number, since 1 + 3 + 5 + 404 + 4 + 205 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135404420499 and 135404420508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117537984 + ... + 117539135.

Almost surely, 2135404420544 is an apocalyptic number.

It is an amenable number.

135404420544 is an abundant number, since it is smaller than the sum of its proper divisors (252707904576).

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

135404420544 is a wasteful number, since it uses less digits than its factorization.

135404420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235077137 (or 235077124 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 135404420544 in words is "one hundred thirty-five billion, four hundred four million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 235077119 470154238 705231357 940308476 1410462714 1880616952 2115694071 2820925428 3761233904 4231388142 5641850856 7522467808 8462776284 11283701712 15044935616 16925552568 22567403424 33851105136 45134806848 67702210272 135404420544