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130715115345360 = 2432571317376594813
BaseRepresentation
bin11101101110001001111100…
…000001000101010111010000
3122010211020120010200210021200
4131232021330001011113100
5114113114024012022420
61142001410041351200
736350566261641330
oct3556117401052720
9563736503623250
10130715115345360
1138716a72970587
12127b156b798500
1357c24c8425560
14243c906b510c0
15101a30064bb90
hex76e27c0455d0

130715115345360 has 1920 divisors, whose sum is σ = 588546040642560. Its totient is φ = 25212024520704.

The previous prime is 130715115345359. The next prime is 130715115345421. The reversal of 130715115345360 is 63543511517031.

130715115345360 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 1 + 5 + 1 + 1 + 534 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27158758314 + ... + 27158763126.

It is an arithmetic number, because the mean of its divisors is an integer number (306534396168).

Almost surely, 2130715115345360 is an apocalyptic number.

130715115345360 is a gapful number since it is divisible by the number (10) 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 130715115345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294273020321280).

130715115345360 is an abundant number, since it is smaller than the sum of its proper divisors (457830925297200).

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

130715115345360 is a wasteful number, since it uses less digits than its factorization.

130715115345360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 130715115345360 in words is "one hundred thirty trillion, seven hundred fifteen billion, one hundred fifteen million, three hundred forty-five thousand, three hundred sixty".