Search a number
-
+
25608968748 = 22341126332729
BaseRepresentation
bin10111110110011010…
…011101101000101100
32110002201210101220000
4113312122131220230
5404421343444443
615433053024300
71564420433316
oct276632355054
973081711800
1025608968748
11a951660290
124b68485090
13255175245c
14134d1c67b6
159ed3b28d3
hex5f669da2c

25608968748 has 120 divisors (see below), whose sum is σ = 73087494480. Its totient is φ = 7754503680.

The previous prime is 25608968731. The next prime is 25608968773. The reversal of 25608968748 is 84786980652.

25608968748 is a `hidden beast` number, since 2 + 560 + 8 + 9 + 68 + 7 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9382648 + ... + 9385376.

It is an arithmetic number, because the mean of its divisors is an integer number (609062454).

Almost surely, 225608968748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25608968748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36543747240).

25608968748 is an abundant number, since it is smaller than the sum of its proper divisors (47478525732).

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

25608968748 is a wasteful number, since it uses less digits than its factorization.

25608968748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5389 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 25608968748 in words is "twenty-five billion, six hundred eight million, nine hundred sixty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 2633 2729 3564 5266 5458 7899 8187 10532 10916 15798 16374 23697 24561 28963 30019 31596 32748 47394 49122 57926 60038 71091 73683 86889 90057 94788 98244 115852 120076 142182 147366 173778 180114 213273 221049 260667 270171 284364 294732 347556 360228 426546 442098 521334 540342 782001 810513 853092 884196 1042668 1080684 1564002 1621026 2346003 2431539 3128004 3242052 4692006 4863078 7185457 9384012 9726156 14370914 21556371 28741828 43112742 64669113 79040027 86225484 129338226 158080054 194007339 237120081 258676452 316160108 388014678 474240162 582022017 711360243 776029356 948480324 1164044034 1422720486 2134080729 2328088068 2845440972 4268161458 6402242187 8536322916 12804484374 25608968748