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130355132455296 = 27327292772012333
BaseRepresentation
bin11101101000111010101011…
…010111010101100110000000
3122002112211101022101020012200
4131220322223113111212000
5114041214302402032141
61141124153210553200
736312563462602320
oct3550725327254600
9562484338336180
10130355132455296
1138598334a13171
1212753846138800
13579758957a5b8
142429317531280
151010c81eb9ab6
hex768eab5d5980

130355132455296 has 384 divisors, whose sum is σ = 445081594651200. Its totient is φ = 35830199107584.

The previous prime is 130355132455241. The next prime is 130355132455351. The reversal of 130355132455296 is 692554231553031.

130355132455296 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 51 + 32 + 4 + 552 + 9 + 6 = 666.

130355132455296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130355132455241) and next prime (130355132455351).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1303551324552963 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 63771946 + ... + 65784278.

Almost surely, 2130355132455296 is an apocalyptic number.

130355132455296 is a gapful number since it is divisible by the number (16) 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 130355132455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222540797325600).

130355132455296 is an abundant number, since it is smaller than the sum of its proper divisors (314726462195904).

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

130355132455296 is a wasteful number, since it uses less digits than its factorization.

130355132455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012666 (or 2012651 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 130355132455296 in words is "one hundred thirty trillion, three hundred fifty-five billion, one hundred thirty-two million, four hundred fifty-five thousand, two hundred ninety-six".