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23942785356 = 2233759353407
BaseRepresentation
bin10110010011000110…
…011110100101001100
32021210121120111222000
4112103012132211030
5343013323112411
614555452552300
71505216213640
oct262306364514
967717514860
1023942785356
11a177095016
124782482690
1323474b6119
141231bc4c20
15951e8d956
hex59319e94c

23942785356 has 96 divisors (see below), whose sum is σ = 71062548480. Its totient is φ = 6829132032.

The previous prime is 23942785289. The next prime is 23942785357. The reversal of 23942785356 is 65358724932.

23942785356 is a `hidden beast` number, since 2 + 39 + 4 + 2 + 78 + 535 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23942785357) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 421605 + ... + 475011.

It is an arithmetic number, because the mean of its divisors is an integer number (740234880).

Almost surely, 223942785356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23942785356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35531274240).

23942785356 is an abundant number, since it is smaller than the sum of its proper divisors (47119763124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23942785356 is a wasteful number, since it uses less digits than its factorization.

23942785356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54020 (or 54012 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 23942785356 in words is "twenty-three billion, nine hundred forty-two million, seven hundred eighty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 593 756 1186 1779 2372 3558 4151 5337 7116 8302 10674 12453 16011 16604 21348 24906 32022 37359 49812 53407 64044 74718 106814 112077 149436 160221 213628 224154 320442 373849 448308 480663 640884 747698 961326 1121547 1441989 1495396 1922652 2243094 2883978 3364641 4486188 5767956 6729282 10093923 13458564 20187846 31670351 40375692 63340702 95011053 126681404 190022106 221692457 285033159 380044212 443384914 570066318 665077371 855099477 886769828 1140132636 1330154742 1710198954 1995232113 2660309484 3420397908 3990464226 5985696339 7980928452 11971392678 23942785356