Search a number
-
+
25323019568 = 2471128037333
BaseRepresentation
bin10111100101010111…
…101001110100110000
32102100210201200100122
4113211113221310300
5403330143111233
615344440105412
71554346054250
oct274527516460
972323650318
1025323019568
11a815203450
124aa8765268
132507433c62
14132322d960
159d322bd98
hex5e55e9d30

25323019568 has 80 divisors (see below), whose sum is σ = 61200059136. Its totient is φ = 9861246720.

The previous prime is 25323019523. The next prime is 25323019571. The reversal of 25323019568 is 86591032352.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449630 + ... + 3456962.

Almost surely, 225323019568 is an apocalyptic number.

25323019568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25323019568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600029568).

25323019568 is an abundant number, since it is smaller than the sum of its proper divisors (35877039568).

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

25323019568 is a wasteful number, since it uses less digits than its factorization.

25323019568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 25323019568 in words is "twenty-five billion, three hundred twenty-three million, nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2803 5606 7333 11212 14666 19621 22424 29332 30833 39242 44848 51331 58664 61666 78484 80663 102662 117328 123332 156968 161326 205324 215831 246664 313936 322652 410648 431662 493328 564641 645304 821296 863324 1129282 1290608 1726648 2258564 3453296 4517128 9034256 20554399 41108798 82217596 143880793 164435192 226098389 287761586 328870384 452196778 575523172 904393556 1151046344 1582688723 1808787112 2302092688 3165377446 3617574224 6330754892 12661509784 25323019568