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2640052723 = 7211172312527
BaseRepresentation
bin1001110101011100…
…0000000111110011
320210222201120111111
42131113000013303
520401323141343
61113545254151
7122265035500
oct23527000763
96728646444
102640052723
111135271760
12618194357
13330c57799
141b08aa4a7
15106b92c9d
hex9d5c01f3

2640052723 has 48 divisors (see below), whose sum is σ = 3701873664. Its totient is φ = 1851843840.

The previous prime is 2640052691. The next prime is 2640052777. The reversal of 2640052723 is 3272500462.

2640052723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2640052723 - 25 = 2640052691 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2640052423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204486 + ... + 217012.

It is an arithmetic number, because the mean of its divisors is an integer number (77122368).

Almost surely, 22640052723 is an apocalyptic number.

2640052723 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2640052723 is a deficient number, since it is larger than the sum of its proper divisors (1061820941).

2640052723 is a wasteful number, since it uses less digits than its factorization.

2640052723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 2640052723 is about 51381.4433720969. The cubic root of 2640052723 is about 1382.0938464017.

The spelling of 2640052723 in words is "two billion, six hundred forty million, fifty-two thousand, seven hundred twenty-three".

Divisors: 1 7 11 17 23 49 77 119 161 187 253 391 539 833 1127 1309 1771 2737 4301 9163 12397 12527 19159 30107 87689 137797 210749 212959 288121 613823 964579 1490713 2016847 2342549 3169331 4898057 6752053 10434991 14117929 16397843 22185317 34286399 53878627 114784901 155297219 240004793 377150389 2640052723