Search a number
-
+
25420641624 = 23327232192947
BaseRepresentation
bin10111101011001100…
…000011010101011000
32102121121102101122100
4113223030003111120
5404030141012444
615402244323400
71556642613540
oct275314032530
972547371570
1025420641624
11a865320334
124b153a3560
1325217242a1
1413321a2320
159dbab1e69
hex5eb303558

25420641624 has 96 divisors (see below), whose sum is σ = 82103973120. Its totient is φ = 6947252928.

The previous prime is 25420641619. The next prime is 25420641629. The reversal of 25420641624 is 42614602452.

25420641624 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 0 + 641 + 6 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (25420641619) and next prime (25420641629).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25420641629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084882 + ... + 1108065.

It is an arithmetic number, because the mean of its divisors is an integer number (855249720).

Almost surely, 225420641624 is an apocalyptic number.

25420641624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25420641624 is an abundant number, since it is smaller than the sum of its proper divisors (56683331496).

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

25420641624 is a wasteful number, since it uses less digits than its factorization.

25420641624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192989 (or 2192982 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25420641624 in words is "twenty-five billion, four hundred twenty million, six hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 2192947 4385894 6578841 8771788 13157682 15350629 17543576 19736523 26315364 30701258 39473046 46051887 50437781 52630728 61402516 78946092 92103774 100875562 122805032 138155661 151313343 157892184 184207548 201751124 276311322 302626686 353064467 368415096 403502248 453940029 552622644 605253372 706128934 907880058 1059193401 1105245288 1210506744 1412257868 1815760116 2118386802 2824515736 3177580203 3631520232 4236773604 6355160406 8473547208 12710320812 25420641624