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23364057645 = 3252516433217
BaseRepresentation
bin10101110000100110…
…110011101000101101
32020022021121002210100
4111300212303220231
5340322144321040
614422220501313
71454661133065
oct256046635055
966267532710
1023364057645
1199aa446355
1246406aa839
132284627aa6
1411b8db83a5
1591b273b30
hex5709b3a2d

23364057645 has 48 divisors (see below), whose sum is σ = 40734937152. Its totient is φ = 12388032000.

The previous prime is 23364057637. The next prime is 23364057671. The reversal of 23364057645 is 54675046332.

23364057645 is a `hidden beast` number, since 2 + 3 + 36 + 4 + 0 + 576 + 45 = 666.

It is not a de Polignac number, because 23364057645 - 23 = 23364057637 is a prime.

It is a super-3 number, since 3×233640576453 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 23364057645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7261077 + ... + 7264293.

It is an arithmetic number, because the mean of its divisors is an integer number (848644524).

Almost surely, 223364057645 is an apocalyptic number.

It is an amenable number.

23364057645 is a deficient number, since it is larger than the sum of its proper divisors (17370879507).

23364057645 is a wasteful number, since it uses less digits than its factorization.

23364057645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 23364057645 in words is "twenty-three billion, three hundred sixty-four million, fifty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 251 643 753 1255 1929 2259 3215 3217 3765 5787 9645 9651 11295 16085 28935 28953 48255 144765 161393 484179 806965 807467 1452537 2068531 2420895 2422401 4037335 6205593 7262685 7267203 10342655 12112005 18616779 31027965 36336015 93083895 519201281 1557603843 2596006405 4672811529 7788019215 23364057645