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25131141024 = 25311149159721
BaseRepresentation
bin10111011001111011…
…101100011110100000
32101212102200020110220
4113121323230132200
5402432033003044
615313423323040
71546526113503
oct273173543640
971772606426
1025131141024
11a726968240
124a54450480
1324a6761462
14130596313a
159c1479019
hex5d9eec7a0

25131141024 has 96 divisors (see below), whose sum is σ = 72449899200. Its totient is φ = 7564339200.

The previous prime is 25131140981. The next prime is 25131141121. The reversal of 25131141024 is 42014113152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 25131140985 and 25131141003.

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, 77484 + ... + 237204.

It is an arithmetic number, because the mean of its divisors is an integer number (754686450).

Almost surely, 225131141024 is an apocalyptic number.

25131141024 is a gapful number since it is divisible by the number (24) 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 25131141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224949600).

25131141024 is an abundant number, since it is smaller than the sum of its proper divisors (47318758176).

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

25131141024 is a wasteful number, since it uses less digits than its factorization.

25131141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159894 (or 159886 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 25131141024 its reverse (42014113152), we get a palindrome (67145254176).

The spelling of 25131141024 in words is "twenty-five billion, one hundred thirty-one million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1639 1788 2384 3278 3576 4768 4917 6556 7152 9834 13112 14304 19668 26224 39336 52448 78672 157344 159721 319442 479163 638884 958326 1277768 1756931 1916652 2555536 3513862 3833304 5111072 5270793 7027724 7666608 10541586 14055448 15333216 21083172 23798429 28110896 42166344 47596858 56221792 71395287 84332688 95193716 142790574 168665376 190387432 261782719 285581148 380774864 523565438 571162296 761549728 785348157 1047130876 1142324592 1570696314 2094261752 2284649184 3141392628 4188523504 6282785256 8377047008 12565570512 25131141024