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130295938248 = 23327547593797
BaseRepresentation
bin111100101011000111…
…1100011110011001000
3110110022112210110120200
41321112033203303020
54113321230010443
6135505050052200
712261566126040
oct1712617436310
9413275713520
10130295938248
11502927299a3
1221303a1a060
13c3962ac918
146440902720
1535c8d1ddd3
hex1e563e3cc8

130295938248 has 192 divisors, whose sum is σ = 405223378560. Its totient is φ = 37050144768.

The previous prime is 130295938219. The next prime is 130295938261. The reversal of 130295938248 is 842839592031.

130295938248 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 593 + 8 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130295938194 and 130295938203.

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, 163482586 + ... + 163483382.

It is an arithmetic number, because the mean of its divisors is an integer number (2110538430).

Almost surely, 2130295938248 is an apocalyptic number.

130295938248 is a gapful number since it is divisible by the number (18) 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 130295938248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202611689280).

130295938248 is an abundant number, since it is smaller than the sum of its proper divisors (274927440312).

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

130295938248 is a wasteful number, since it uses less digits than its factorization.

130295938248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 130295938248 in words is "one hundred thirty billion, two hundred ninety-five million, nine hundred thirty-eight thousand, two hundred forty-eight".