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72774228249 = 3310861248167
BaseRepresentation
bin100001111000110101…
…1101001100100011001
320221211202112211121000
41003301223221210121
52143020200300444
653233152135213
75154261506442
oct1036153514431
9227752484530
1072774228249
1128955177898
121212bb37509
136b2a120328
14374524c2c9
151d5de59469
hex10f1ae9919

72774228249 has 16 divisors (see below), whose sum is σ = 107824032640. Its totient is φ = 48511489680.

The previous prime is 72774228239. The next prime is 72774228251. The reversal of 72774228249 is 94282247727.

72774228249 is a `hidden beast` number, since 72 + 77 + 422 + 82 + 4 + 9 = 666.

It is not a de Polignac number, because 72774228249 - 211 = 72774226201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72774228195 and 72774228204.

It is not an unprimeable number, because it can be changed into a prime (72774228209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169164 + ... + 417330.

It is an arithmetic number, because the mean of its divisors is an integer number (6739002040).

Almost surely, 272774228249 is an apocalyptic number.

It is an amenable number.

72774228249 is a deficient number, since it is larger than the sum of its proper divisors (35049804391).

72774228249 is a wasteful number, since it uses less digits than its factorization.

72774228249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259037 (or 259031 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 72774228249 in words is "seventy-two billion, seven hundred seventy-four million, two hundred twenty-eight thousand, two hundred forty-nine".

Divisors: 1 3 9 27 10861 32583 97749 248167 293247 744501 2233503 6700509 2695341787 8086025361 24258076083 72774228249