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72813780743 = 1125910199437
BaseRepresentation
bin100001111010000001…
…0100001111100000111
320221221111222022102012
41003310002201330013
52143110311440433
653241124004435
75155251632024
oct1036402417407
9227844868365
1072813780743
1128975532200
121214123071b
136b3538b282
14374a5c654b
151d6266d848
hex10f40a1f07

72813780743 has 12 divisors (see below), whose sum is σ = 81391515240. Its totient is φ = 65072401680.

The previous prime is 72813780727. The next prime is 72813780791. The reversal of 72813780743 is 34708731827.

It is not a de Polignac number, because 72813780743 - 24 = 72813780727 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72813780691 and 72813780700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72813780643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5092580 + ... + 5106857.

It is an arithmetic number, because the mean of its divisors is an integer number (6782626270).

Almost surely, 272813780743 is an apocalyptic number.

72813780743 is a deficient number, since it is larger than the sum of its proper divisors (8577734497).

72813780743 is a wasteful number, since it uses less digits than its factorization.

72813780743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199518 (or 10199507 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 72813780743 in words is "seventy-two billion, eight hundred thirteen million, seven hundred eighty thousand, seven hundred forty-three".

Divisors: 1 11 59 121 649 7139 10199437 112193807 601766783 1234131877 6619434613 72813780743