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72646135743 = 3231052842547
BaseRepresentation
bin100001110101000001…
…1000000111110111111
320221111211112001201010
41003222003000332333
52142234402320433
653212334450303
75151144652056
oct1035203007677
9227454461633
1072646135743
1128899939015
12120b5063993
136b09721b4c
14373222739d
151d52aa5e63
hex10ea0c0fbf

72646135743 has 8 divisors (see below), whose sum is σ = 101072884608. Its totient is φ = 46325072024.

The previous prime is 72646135703. The next prime is 72646135747. The reversal of 72646135743 is 34753164627.

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 72646135743 - 29 = 72646135231 is a prime.

It is a super-2 number, since 2×726461357432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72646135692 and 72646135701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646135747) 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, 526421205 + ... + 526421342.

It is an arithmetic number, because the mean of its divisors is an integer number (12634110576).

Almost surely, 272646135743 is an apocalyptic number.

72646135743 is a deficient number, since it is larger than the sum of its proper divisors (28426748865).

72646135743 is a wasteful number, since it uses less digits than its factorization.

72646135743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052842573.

The product of its digits is 2540160, while the sum is 48.

The spelling of 72646135743 in words is "seventy-two billion, six hundred forty-six million, one hundred thirty-five thousand, seven hundred forty-three".

Divisors: 1 3 23 69 1052842547 3158527641 24215378581 72646135743