Search a number
-
+
23956385472 = 263373189913
BaseRepresentation
bin10110010011111010…
…010110111011000000
32021211120011110211000
4112103322112323000
5343030313313342
615001100252000
71505442626265
oct262372267300
967746143730
1023956385472
11a183833a88
124786b41000
13234a268526
14123392526c
1595327844c
hex593e96ec0

23956385472 has 112 divisors (see below), whose sum is σ = 71392470880. Its totient is φ = 7876030464.

The previous prime is 23956385461. The next prime is 23956385489. The reversal of 23956385472 is 27458365932.

23956385472 is a `hidden beast` number, since 2 + 3 + 9 + 563 + 8 + 5 + 4 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31188 + ... + 221100.

Almost surely, 223956385472 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 23956385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35696235440).

23956385472 is an abundant number, since it is smaller than the sum of its proper divisors (47436085408).

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

23956385472 is a wasteful number, since it uses less digits than its factorization.

23956385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190007 (or 189991 counting only the distinct ones).

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

The spelling of 23956385472 in words is "twenty-three billion, nine hundred fifty-six million, three hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 31536 42048 63072 126144 189913 379826 569739 759652 1139478 1519304 1709217 2278956 3038608 3418434 4557912 5127651 6077216 6836868 9115824 10255302 12154432 13673736 13863649 18231648 20510604 27347472 27727298 36463296 41021208 41590947 54694944 55454596 82042416 83181894 109389888 110909192 124772841 164084832 166363788 221818384 249545682 328169664 332727576 374318523 443636768 499091364 665455152 748637046 887273536 998182728 1330910304 1497274092 1996365456 2661820608 2994548184 3992730912 5989096368 7985461824 11978192736 23956385472