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25304157440 = 285191496983
BaseRepresentation
bin10111100100001111…
…101100110100000000
32102022111020101101022
4113210033230310000
5403310331014230
615342523525012
71554026534522
oct274417546400
972274211338
1025304157440
11a8055a0011
124aa2389768
13250355b733
14132091da12
159d17531e5
hex5e43ecd00

25304157440 has 144 divisors (see below), whose sum is σ = 64238832000. Its totient is φ = 9523224576.

The previous prime is 25304157413. The next prime is 25304157443. The reversal of 25304157440 is 4475140352.

It is a self number, because there is not a number n which added to its sum of digits gives 25304157440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25304157443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3620189 + ... + 3627171.

It is an arithmetic number, because the mean of its divisors is an integer number (446103000).

Almost surely, 225304157440 is an apocalyptic number.

25304157440 is a gapful number since it is divisible by the number (20) 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 25304157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119416000).

25304157440 is an abundant number, since it is smaller than the sum of its proper divisors (38934674560).

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

25304157440 is a wasteful number, since it uses less digits than its factorization.

25304157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

Adding to 25304157440 its reverse (4475140352), we get a palindrome (29779297792).

The spelling of 25304157440 in words is "twenty-five billion, three hundred four million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 149 152 160 190 256 298 304 320 380 596 608 640 745 760 1192 1216 1280 1490 1520 2384 2432 2831 2980 3040 4768 4864 5662 5960 6080 6983 9536 11324 11920 12160 13966 14155 19072 22648 23840 24320 27932 28310 34915 38144 45296 47680 55864 56620 69830 90592 95360 111728 113240 132677 139660 181184 190720 223456 226480 265354 279320 362368 446912 452960 530708 558640 663385 724736 893824 905920 1040467 1061416 1117280 1326770 1787648 1811840 2080934 2122832 2234560 2653540 3623680 4161868 4245664 4469120 5202335 5307080 8323736 8491328 8938240 10404670 10614160 16647472 16982656 19768873 20809340 21228320 33294944 33965312 39537746 41618680 42456640 66589888 79075492 83237360 84913280 98844365 133179776 158150984 166474720 169826560 197688730 266359552 316301968 332949440 395377460 632603936 665898880 790754920 1265207872 1331797760 1581509840 2530415744 3163019680 5060831488 6326039360 12652078720 25304157440