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72150740753 = 7213113266469
BaseRepresentation
bin100001100110010000…
…1001110111100010001
320220020022100101112112
41003030201032330101
52140231042201003
653051240435105
75132651114600
oct1031441167421
9226208311475
1072150740753
1128665237473
1211b97178a95
136a5abbcb10
1436c650da37
151d2434c3d8
hex10cc84ef11

72150740753 has 12 divisors (see below), whose sum is σ = 90386643060. Its totient is φ = 57086299872.

The previous prime is 72150740741. The next prime is 72150740759. The reversal of 72150740753 is 35704705127.

It can be written as a sum of positive squares in 2 ways, for example, as 24577459984 + 47573280769 = 156772^2 + 218113^2 .

It is not a de Polignac number, because 72150740753 - 210 = 72150739729 is a prime.

It is a super-3 number, since 3×721507407533 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72150740753.

It is not an unprimeable number, because it can be changed into a prime (72150740759) 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, 56632598 + ... + 56633871.

It is an arithmetic number, because the mean of its divisors is an integer number (7532220255).

Almost surely, 272150740753 is an apocalyptic number.

It is an amenable number.

72150740753 is a deficient number, since it is larger than the sum of its proper divisors (18235902307).

72150740753 is a wasteful number, since it uses less digits than its factorization.

72150740753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113266496 (or 113266489 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 41.

The spelling of 72150740753 in words is "seventy-two billion, one hundred fifty million, seven hundred forty thousand, seven hundred fifty-three".

Divisors: 1 7 13 49 91 637 113266469 792865283 1472464097 5550056981 10307248679 72150740753