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25232144130 = 2325736835623
BaseRepresentation
bin10111011111111100…
…111111011100000010
32102010110201201200200
4113133330333130002
5403133412103010
615331432230030
71552163454264
oct273774773402
972113651620
1025232144130
11a778984386
124a8223b316
1324c16666cb
141315135b34
159ca27acc0
hex5dff3f702

25232144130 has 96 divisors (see below), whose sum is σ = 66611465856. Its totient is φ = 6625504512.

The previous prime is 25232144129. The next prime is 25232144131. The reversal of 25232144130 is 3144123252.

25232144130 is a `hidden beast` number, since 2 + 5 + 232 + 14 + 413 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25232144129) and next prime (25232144131).

It is a super-2 number, since 2×252321441302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25232144094 and 25232144103.

It is not an unprimeable number, because it can be changed into a prime (25232144131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484499 + ... + 4490121.

It is an arithmetic number, because the mean of its divisors is an integer number (693869436).

Almost surely, 225232144130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25232144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33305732928).

25232144130 is an abundant number, since it is smaller than the sum of its proper divisors (41379321726).

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

25232144130 is a wasteful number, since it uses less digits than its factorization.

25232144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 25232144130 its reverse (3144123252), we get a palindrome (28376267382).

The spelling of 25232144130 in words is "twenty-five billion, two hundred thirty-two million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 683 730 1095 1314 1366 2049 2190 3285 3415 4098 5623 6147 6570 6830 10245 11246 12294 16869 20490 28115 30735 33738 49859 50607 56230 61470 84345 99718 101214 149577 168690 249295 253035 299154 410479 448731 498590 506070 747885 820958 897462 1231437 1495770 2052395 2243655 2462874 3694311 3840509 4104790 4487310 6157185 7388622 7681018 11521527 12314370 18471555 19202545 23043054 34564581 36943110 38405090 57607635 69129162 115215270 172822905 280357157 345645810 560714314 841071471 1401785785 1682142942 2523214413 2803571570 4205357355 5046428826 8410714710 12616072065 25232144130