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130450974264 = 2332132312391447
BaseRepresentation
bin111100101111101111…
…0111110011000111000
3110110201100112010000100
41321133132332120320
54114130422134024
6135532305035400
712265460662062
oct1713736763070
9413640463010
10130450974264
11503621a0836
1221347925b60
13c3bc452b00
14645733c732
1535d77457c9
hex1e5f7be638

130450974264 has 288 divisors, whose sum is σ = 396840038400. Its totient is φ = 38654703360.

The previous prime is 130450974217. The next prime is 130450974319. The reversal of 130450974264 is 462479054031.

130450974264 is a `hidden beast` number, since 13 + 0 + 4 + 509 + 74 + 2 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90151989 + ... + 90153435.

It is an arithmetic number, because the mean of its divisors is an integer number (1377916800).

Almost surely, 2130450974264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130450974264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198420019200).

130450974264 is an abundant number, since it is smaller than the sum of its proper divisors (266389064136).

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

130450974264 is a wasteful number, since it uses less digits than its factorization.

130450974264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 130450974264 in words is "one hundred thirty billion, four hundred fifty million, nine hundred seventy-four thousand, two hundred sixty-four".