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72247773078 = 23213312198927
BaseRepresentation
bin100001101001001001…
…1011000011110010110
320220111001221010212100
41003102103120132112
52140430412214303
653105024302530
75135236636635
oct1032223303626
9226431833770
1072247773078
1128704a91278
1212003771a46
136a750348b0
1436d536b51c
151d2cb178a3
hex10d24d8796

72247773078 has 48 divisors (see below), whose sum is σ = 168633855936. Its totient is φ = 22222736640.

The previous prime is 72247773077. The next prime is 72247773083. The reversal of 72247773078 is 87037774227.

72247773078 is a `hidden beast` number, since 72 + 2 + 477 + 7 + 30 + 78 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72247773077) 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, 680851 + ... + 779777.

It is an arithmetic number, because the mean of its divisors is an integer number (3513205332).

Almost surely, 272247773078 is an apocalyptic number.

72247773078 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72247773078 is an abundant number, since it is smaller than the sum of its proper divisors (96386082858).

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

72247773078 is a wasteful number, since it uses less digits than its factorization.

72247773078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102069 (or 102066 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 72247773078 in words is "seventy-two billion, two hundred forty-seven million, seven hundred seventy-three thousand, seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3121 6242 9363 18726 28089 40573 56178 81146 98927 121719 197854 243438 296781 365157 593562 730314 890343 1286051 1780686 2572102 3858153 7716306 11574459 23148918 308751167 617502334 926253501 1852507002 2778760503 4013765171 5557521006 8027530342 12041295513 24082591026 36123886539 72247773078