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25380394248 = 233111271794229
BaseRepresentation
bin10111101000110010…
…100001010100001000
32102111210200121121210
4113220302201110020
5403434340103443
615354245533120
71555643535336
oct275062412410
972453617553
1025380394248
11a844630940
124b03a141a0
1325162a1c81
14132aac6b56
159d82b1c33
hex5e8ca1508

25380394248 has 128 divisors (see below), whose sum is σ = 70170624000. Its totient is φ = 7586046720.

The previous prime is 25380394219. The next prime is 25380394271. The reversal of 25380394248 is 84249308352.

It is a super-2 number, since 2×253803942482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25380394197 and 25380394206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5999398 + ... + 6003626.

It is an arithmetic number, because the mean of its divisors is an integer number (548208000).

Almost surely, 225380394248 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 25380394248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085312000).

25380394248 is an abundant number, since it is smaller than the sum of its proper divisors (44790229752).

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

25380394248 is a wasteful number, since it uses less digits than its factorization.

25380394248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 25380394248 in words is "twenty-five billion, three hundred eighty million, three hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 179 254 264 358 381 508 537 716 762 1016 1074 1397 1432 1524 1969 2148 2794 3048 3938 4191 4229 4296 5588 5907 7876 8382 8458 11176 11814 12687 15752 16764 16916 22733 23628 25374 33528 33832 45466 46519 47256 50748 68199 90932 93038 101496 136398 139557 181864 186076 250063 272796 279114 372152 500126 537083 545592 558228 750189 756991 1000252 1074166 1116456 1500378 1513982 1611249 2000504 2148332 2270973 3000756 3027964 3222498 4296664 4541946 5907913 6001512 6055928 6444996 8326901 9083892 11815826 12889992 16653802 17723739 18167784 23631652 24980703 33307604 35447478 47263304 49961406 66615208 70894956 96137857 99922812 141789912 192275714 199845624 288413571 384551428 576827142 769102856 1057516427 1153654284 2115032854 2307308568 3172549281 4230065708 6345098562 8460131416 12690197124 25380394248