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130248868932 = 22327131929591223
BaseRepresentation
bin111100101001101110…
…0000000010001000100
3110110012021020002121200
41321103130000101010
54113222202301212
6135500245142500
712260455055520
oct1712334002104
9413167202550
10130248868932
1150269100036
12212b00baa30
13c38960c460
14643856cd80
1535c4b226dc
hex1e53700444

130248868932 has 576 divisors, whose sum is σ = 449100288000. Its totient is φ = 30863379456.

The previous prime is 130248868889. The next prime is 130248869033. The reversal of 130248868932 is 239868842031.

130248868932 is a `hidden beast` number, since 13 + 0 + 2 + 488 + 68 + 93 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106498873 + ... + 106500095.

It is an arithmetic number, because the mean of its divisors is an integer number (779688000).

Almost surely, 2130248868932 is an apocalyptic number.

130248868932 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 130248868932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144000).

130248868932 is an abundant number, since it is smaller than the sum of its proper divisors (318851419068).

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

130248868932 is a wasteful number, since it uses less digits than its factorization.

130248868932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 130248868932 in words is "one hundred thirty billion, two hundred forty-eight million, eight hundred sixty-eight thousand, nine hundred thirty-two".