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25241145144 = 23337227125219
BaseRepresentation
bin10111100000011111…
…010100111100111000
32102011002200000202120
4113200133110330320
5403143213121034
615332353201240
71552333123305
oct274037247470
972132600676
1025241145144
11a782a71a36
124a85260220
1324c3498657
1413163da0ac
159cae57c49
hex5e07d4f38

25241145144 has 64 divisors (see below), whose sum is σ = 65094364800. Its totient is φ = 8150189184.

The previous prime is 25241145119. The next prime is 25241145161. The reversal of 25241145144 is 44154114252.

It is a congruent number.

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, 138967 + ... + 264185.

It is an arithmetic number, because the mean of its divisors is an integer number (1017099450).

Almost surely, 225241145144 is an apocalyptic number.

25241145144 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 25241145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547182400).

25241145144 is an abundant number, since it is smaller than the sum of its proper divisors (39853219656).

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

25241145144 is a wasteful number, since it uses less digits than its factorization.

25241145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125492 (or 125488 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

Adding to 25241145144 its reverse (44154114252), we get a palindrome (69395259396).

The spelling of 25241145144 in words is "twenty-five billion, two hundred forty-one million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 227 296 444 454 681 888 908 1362 1816 2724 5448 8399 16798 25197 33596 50394 67192 100788 125219 201576 250438 375657 500876 751314 1001752 1502628 3005256 4633103 9266206 13899309 18532412 27798618 28424713 37064824 55597236 56849426 85274139 111194472 113698852 170548278 227397704 341096556 682193112 1051714381 2103428762 3155143143 4206857524 6310286286 8413715048 12620572572 25241145144