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135570113280 = 2832571924657
BaseRepresentation
bin111111001000010011…
…0111100001100000000
3110221221010002022120200
41332100212330030000
54210121422111110
6142140254005200
712536360643450
oct1762046741400
9427833068520
10135570113280
1152549881738
12223361a6800
13ca26b96754
1467c1173d60
1537d6d826c0
hex1f909bc300

135570113280 has 648 divisors, whose sum is σ = 565887303072. Its totient is φ = 29350232064.

The previous prime is 135570113269. The next prime is 135570113281. The reversal of 135570113280 is 82311075531.

It is a happy number.

135570113280 is a `hidden beast` number, since 1 + 3 + 5 + 570 + 1 + 1 + 3 + 2 + 80 = 666.

It is a super-2 number, since 2×1355701132802 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135570113281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29108712 + ... + 29113368.

Almost surely, 2135570113280 is an apocalyptic number.

135570113280 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 135570113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282943651536).

135570113280 is an abundant number, since it is smaller than the sum of its proper divisors (430317189792).

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

135570113280 is a wasteful number, since it uses less digits than its factorization.

135570113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 135570113280 in words is "one hundred thirty-five billion, five hundred seventy million, one hundred thirteen thousand, two hundred eighty".