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25131442432 = 281313072441
BaseRepresentation
bin10111011001111100…
…110110000100000000
32101212110020112221011
4113121330312010000
5402432122124212
615313434010304
71546531510315
oct273174660400
971773215834
1025131442432
11a727053738
124a54576994
1324a68386c5
141305a00d0c
159c14d84a7
hex5d9f36100

25131442432 has 72 divisors (see below), whose sum is σ = 50733077472. Its totient is φ = 12424089600.

The previous prime is 25131442379. The next prime is 25131442447. The reversal of 25131442432 is 23424413152.

It is a junction number, because it is equal to n+sod(n) for n = 25131442394 and 25131442403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10294332 + ... + 10296772.

It is an arithmetic number, because the mean of its divisors is an integer number (704626076).

Almost surely, 225131442432 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 25131442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25366538736).

25131442432 is an abundant number, since it is smaller than the sum of its proper divisors (25601635040).

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

25131442432 is a wasteful number, since it uses less digits than its factorization.

25131442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2881 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

Adding to 25131442432 its reverse (23424413152), we get a palindrome (48555855584).

The spelling of 25131442432 in words is "twenty-five billion, one hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 307 524 614 1048 1228 2096 2441 2456 4192 4882 4912 8384 9764 9824 16768 19528 19648 33536 39056 39296 40217 78112 78592 80434 156224 160868 312448 319771 321736 624896 639542 643472 749387 1279084 1286944 1498774 2558168 2573888 2997548 5116336 5147776 5995096 10232672 10295552 11990192 20465344 23980384 40930688 47960768 81861376 95921536 98169697 191843072 196339394 392678788 785357576 1570715152 3141430304 6282860608 12565721216 25131442432