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130535520192 = 26347211231137
BaseRepresentation
bin111100110010010000…
…1011111011111000000
3110110221020121111020000
41321210201133133000
54114314043121232
6135544525120000
712300535420500
oct1714441373700
9413836544200
10130535520192
11503a5997400
12213700b9000
13c403b1539c
146464669a00
1535ded9627c
hex1e6485f7c0

130535520192 has 1260 divisors, whose sum is σ = 514451754432. Its totient is φ = 32572108800.

The previous prime is 130535520169. The next prime is 130535520209. The reversal of 130535520192 is 291025535031.

130535520192 is a `hidden beast` number, since 1 + 30 + 535 + 5 + 2 + 0 + 1 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 952813948 + ... + 952814084.

Almost surely, 2130535520192 is an apocalyptic number.

130535520192 is a gapful number since it is divisible by the number (12) 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 130535520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257225877216).

130535520192 is an abundant number, since it is smaller than the sum of its proper divisors (383916234240).

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

130535520192 is a wasteful number, since it uses less digits than its factorization.

130535520192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 130535520192 in words is "one hundred thirty billion, five hundred thirty-five million, five hundred twenty thousand, one hundred ninety-two".