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72674944074 = 23211335730061
BaseRepresentation
bin100001110101111000…
…0111010010001001010
320221120211201200022100
41003223300322101022
52142314241202244
653215244134230
75151644555265
oct1035360722112
9227524650270
1072674944074
1128904125157
1212102837376
136b1269a5b5
143735da5cdc
151d55396b69
hex10ebc3a44a

72674944074 has 24 divisors (see below), whose sum is σ = 158855855652. Its totient is φ = 24010600320.

The previous prime is 72674944073. The next prime is 72674944091. The reversal of 72674944074 is 47044947627.

72674944074 is a `hidden beast` number, since 72 + 67 + 4 + 9 + 440 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64665947025 + 8008997049 = 254295^2 + 89493^2 .

It is a super-3 number, since 3×726749440743 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72674944074.

It is not an unprimeable number, because it can be changed into a prime (72674944073) 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 11 ways as a sum of consecutive naturals, for example, 17862997 + ... + 17867064.

Almost surely, 272674944074 is an apocalyptic number.

72674944074 is an abundant number, since it is smaller than the sum of its proper divisors (86180911578).

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

72674944074 is a wasteful number, since it uses less digits than its factorization.

72674944074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35730182 (or 35730179 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 72674944074 in words is "seventy-two billion, six hundred seventy-four million, nine hundred forty-four thousand, seventy-four".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 35730061 71460122 107190183 214380366 321570549 643141098 4037496893 8074993786 12112490679 24224981358 36337472037 72674944074