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72380279131 = 1913779100279
BaseRepresentation
bin100001101101000110…
…0110110100101011011
320220211022021010222221
41003122030312211123
52141213322413011
653130120324511
75141436135646
oct1033214664533
9226738233887
1072380279131
1128772865006
1212040013737
136a96619c44
143708bc0a5d
151d3958d971
hex10da33695b

72380279131 has 8 divisors (see below), whose sum is σ = 72779212800. Its totient is φ = 71981553960.

The previous prime is 72380279119. The next prime is 72380279137. The reversal of 72380279131 is 13197208327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72380279131 - 213 = 72380270939 is a prime.

It is a super-2 number, since 2×723802791312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72380279137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671650 + ... + 771928.

It is an arithmetic number, because the mean of its divisors is an integer number (9097401600).

Almost surely, 272380279131 is an apocalyptic number.

72380279131 is a deficient number, since it is larger than the sum of its proper divisors (398933669).

72380279131 is a wasteful number, since it uses less digits than its factorization.

72380279131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104249.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 72380279131 in words is "seventy-two billion, three hundred eighty million, two hundred seventy-nine thousand, one hundred thirty-one".

Divisors: 1 191 3779 100279 721789 19153289 378954341 72380279131