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130609594368 = 214341123389
BaseRepresentation
bin111100110100011110…
…0000100000000000000
3110111010101222211220000
41321220330010000000
54114442024004433
6140000132520000
712302425143261
oct1715074040000
9414111884800
10130609594368
1150433790430
1221390a80000
13c41627c466
14647042c968
1535e6629113
hex1e68f04000

130609594368 has 600 divisors, whose sum is σ = 445327122240. Its totient is φ = 37760532480.

The previous prime is 130609594343. The next prime is 130609594417. The reversal of 130609594368 is 863495906031.

130609594368 is a `hidden beast` number, since 13 + 0 + 6 + 0 + 9 + 594 + 36 + 8 = 666.

It is a super-2 number, since 2×1306095943682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335757118 + ... + 335757506.

Almost surely, 2130609594368 is an apocalyptic number.

130609594368 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 130609594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222663561120).

130609594368 is an abundant number, since it is smaller than the sum of its proper divisors (314717527872).

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

130609594368 is an equidigital number, since it uses as much as digits as its factorization.

130609594368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 130609594368 in words is "one hundred thirty billion, six hundred nine million, five hundred ninety-four thousand, three hundred sixty-eight".