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72144293723 = 713794675741
BaseRepresentation
bin100001100110000100…
…0101000111101011011
320220012212012211212122
41003030020220331123
52140222414344343
653050450331455
75132542243565
oct1031410507533
9226185184778
1072144293723
1128661633747
1211b94b89b8b
136a597734c8
1436c5712335
151d239c7068
hex10cc228f5b

72144293723 has 16 divisors (see below), whose sum is σ = 73523324160. Its totient is φ = 70776266400.

The previous prime is 72144293687. The next prime is 72144293737. The reversal of 72144293723 is 32739244127.

It is a cyclic number.

It is not a de Polignac number, because 72144293723 - 212 = 72144289627 is a prime.

It is a super-3 number, since 3×721442937233 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72144293323) 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 15 ways as a sum of consecutive naturals, for example, 12563633 + ... + 12569373.

It is an arithmetic number, because the mean of its divisors is an integer number (4595207760).

Almost surely, 272144293723 is an apocalyptic number.

72144293723 is a deficient number, since it is larger than the sum of its proper divisors (1379030437).

72144293723 is a wasteful number, since it uses less digits than its factorization.

72144293723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658.

The product of its digits is 508032, while the sum is 44.

The spelling of 72144293723 in words is "seventy-two billion, one hundred forty-four million, two hundred ninety-three thousand, seven hundred twenty-three".

Divisors: 1 71 379 467 5741 26909 33157 176993 407611 2175839 2681047 12566503 154484569 190354337 1016116813 72144293723