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72228998601 = 3273647169919
BaseRepresentation
bin100001101000100101…
…1110000110111001001
320220102202121022010100
41003101023300313021
52140411110423401
653103114040013
75134621233564
oct1032113606711
9226382538110
1072228998601
11286a5428781
1211bb9419009
136a71190236
1436d2a814db
151d2b159b86
hex10d12f0dc9

72228998601 has 24 divisors (see below), whose sum is σ = 105924049920. Its totient is φ = 47419356096.

The previous prime is 72228998599. The next prime is 72228998609. The reversal of 72228998601 is 10689982227.

72228998601 is a `hidden beast` number, since 7 + 2 + 2 + 28 + 9 + 9 + 8 + 601 = 666.

It is not a de Polignac number, because 72228998601 - 21 = 72228998599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72228998609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340120 + ... + 510038.

It is an arithmetic number, because the mean of its divisors is an integer number (4413502080).

Almost surely, 272228998601 is an apocalyptic number.

It is an amenable number.

72228998601 is a deficient number, since it is larger than the sum of its proper divisors (33695051319).

72228998601 is a wasteful number, since it uses less digits than its factorization.

72228998601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170645 (or 170642 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 72228998601 in words is "seventy-two billion, two hundred twenty-eight million, nine hundred ninety-eight thousand, six hundred one".

Divisors: 1 3 9 73 219 647 657 1941 5823 47231 141693 169919 425079 509757 1529271 12404087 37212261 109937593 111636783 329812779 989438337 8025444289 24076332867 72228998601