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23676800385 = 3578924110513
BaseRepresentation
bin10110000011001111…
…110100110110000001
32021010002002002011210
4112003033310312001
5341442230103020
614513232000333
71465506324360
oct260317646601
967102062153
1023676800385
11a04aa33627
1247093900a9
132304367974
1412087477d7
1593894d3e0
hex5833f4d81

23676800385 has 64 divisors (see below), whose sum is σ = 43967024640. Its totient is φ = 10656645120.

The previous prime is 23676800347. The next prime is 23676800393. The reversal of 23676800385 is 58300867632.

It is not a de Polignac number, because 23676800385 - 26 = 23676800321 is a prime.

It is a super-2 number, since 2×236768003852 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2246889 + ... + 2257401.

It is an arithmetic number, because the mean of its divisors is an integer number (686984760).

Almost surely, 223676800385 is an apocalyptic number.

It is an amenable number.

23676800385 is a deficient number, since it is larger than the sum of its proper divisors (20290224255).

23676800385 is a wasteful number, since it uses less digits than its factorization.

23676800385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 23676800385 in words is "twenty-three billion, six hundred seventy-six million, eight hundred thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 89 105 241 267 445 623 723 1205 1335 1687 1869 3115 3615 5061 8435 9345 10513 21449 25305 31539 52565 64347 73591 107245 150143 157695 220773 321735 367955 450429 750715 935657 1103865 2252145 2533633 2806971 4678285 6549599 7600899 12668165 14034855 17735431 19648797 32747995 38004495 53206293 88677155 98243985 225493337 266031465 676480011 1127466685 1578453359 3382400055 4735360077 7892266795 23676800385