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72105201733 = 233135008771
BaseRepresentation
bin100001100100111001…
…1100001000001000101
320220010010122202202011
41003021303201001011
52140132412423413
653042532414221
75131556050015
oct1031163410105
9226103582664
1072105201733
1128641563314
1211b83a77371
136a51637056
1436c0457c45
151d2035433d
hex10c9ce1045

72105201733 has 4 divisors (see below), whose sum is σ = 75240210528. Its totient is φ = 68970192940.

The previous prime is 72105201709. The next prime is 72105201797. The reversal of 72105201733 is 33710250127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33710250127 = 231465663049.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72105201733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72105201695 and 72105201704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72105208733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1567504363 + ... + 1567504408.

It is an arithmetic number, because the mean of its divisors is an integer number (18810052632).

Almost surely, 272105201733 is an apocalyptic number.

It is an amenable number.

72105201733 is a deficient number, since it is larger than the sum of its proper divisors (3135008795).

72105201733 is a wasteful number, since it uses less digits than its factorization.

72105201733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135008794.

The product of its (nonzero) digits is 8820, while the sum is 31.

The spelling of 72105201733 in words is "seventy-two billion, one hundred five million, two hundred one thousand, seven hundred thirty-three".

Divisors: 1 23 3135008771 72105201733