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135555341760 = 26325316612297
BaseRepresentation
bin111111000111110111…
…0100101110111000000
3110221220002021211212100
41332033232211313000
54210104131414020
6142135005230400
712536121252006
oct1761756456700
9427802254770
10135555341760
1152541502673
1222331262400
13ca23ac40c7
1467bd20aa76
1537d5915a90
hex1f8fba5dc0

135555341760 has 336 divisors, whose sum is σ = 482232321792. Its totient is φ = 34913894400.

The previous prime is 135555341759. The next prime is 135555341807. The reversal of 135555341760 is 67143555531.

135555341760 is a `hidden beast` number, since 1 + 3 + 5 + 55 + 534 + 1 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59012932 + ... + 59015228.

Almost surely, 2135555341760 is an apocalyptic number.

135555341760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135555341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241116160896).

135555341760 is an abundant number, since it is smaller than the sum of its proper divisors (346676980032).

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

135555341760 is a wasteful number, since it uses less digits than its factorization.

135555341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 135555341760 in words is "one hundred thirty-five billion, five hundred fifty-five million, three hundred forty-one thousand, seven hundred sixty".