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130053433525272 = 23325743933144707
BaseRepresentation
bin11101100100100001101100…
…101101010000010000011000
3122001110222122101121121121100
4131210201230231100100120
5114021243412440302042
61140333420023511400
736252023215162125
oct3544415455202030
9561428571547540
10130053433525272
1138491395814674
12127052878b8560
135774ca878846a
14241889690574c
151007ec55b924c
hex76486cb50418

130053433525272 has 48 divisors (see below), whose sum is σ = 352228774355640. Its totient is φ = 43351055250048.

The previous prime is 130053433525243. The next prime is 130053433525273. The reversal of 130053433525272 is 272525334350031.

130053433525272 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 5 + 343 + 35 + 2 + 5 + 272 = 666.

It is a super-3 number, since 3×1300534335252723 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130053433525273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39783943 + ... + 42928649.

Almost surely, 2130053433525272 is an apocalyptic number.

130053433525272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130053433525272 is an abundant number, since it is smaller than the sum of its proper divisors (222175340830368).

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

130053433525272 is a wasteful number, since it uses less digits than its factorization.

130053433525272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719112 (or 3719105 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 130053433525272 in words is "one hundred thirty trillion, fifty-three billion, four hundred thirty-three million, five hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 574393 1148786 1723179 2297572 3144707 3446358 4595144 5169537 6289414 6892716 9434121 10339074 12578828 13785432 18868242 20678148 25157656 28302363 37736484 41356296 56604726 75472968 113209452 226418904 1806297687851 3612595375702 5418893063553 7225190751404 10837786127106 14450381502808 16256679190659 21675572254212 32513358381318 43351144508424 65026716762636 130053433525272