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25041373968 = 24313713891453
BaseRepresentation
bin10111010100100101…
…010000101100010000
32101122011202121020010
4113110211100230100
5402241042431333
615300455314520
71544356111122
oct272445205420
971564677203
1025041373968
11a690225996
124a2a37ba40
132490c91560
1412d7a77212
159b8646563
hex5d4950b10

25041373968 has 160 divisors (see below), whose sum is σ = 70877963520. Its totient is φ = 7571773440.

The previous prime is 25041373871. The next prime is 25041373991. The reversal of 25041373968 is 86937314052.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17233530 + ... + 17234982.

It is an arithmetic number, because the mean of its divisors is an integer number (442987272).

It is a 1-persistent number, because it is pandigital, but 2⋅25041373968 = 50082747936 is not.

Almost surely, 225041373968 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 25041373968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35438981760).

25041373968 is an abundant number, since it is smaller than the sum of its proper divisors (45836589552).

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

25041373968 is a wasteful number, since it uses less digits than its factorization.

25041373968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 25041373968 in words is "twenty-five billion, forty-one million, three hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 389 426 568 624 778 852 923 1136 1167 1453 1556 1704 1846 2334 2769 2906 3112 3408 3692 4359 4668 5057 5538 5812 6224 7384 8718 9336 10114 11076 11624 14768 15171 17436 18672 18889 20228 22152 23248 27619 30342 34872 37778 40456 44304 55238 56667 60684 69744 75556 80912 82857 103163 110476 113334 121368 151112 165714 206326 220952 226668 242736 302224 309489 331428 359047 412652 441904 453336 565217 618978 662856 718094 825304 906672 1077141 1130434 1237956 1325712 1341119 1436188 1650608 1695651 2154282 2260868 2475912 2682238 2872376 3391302 4023357 4308564 4521736 4951824 5364476 5744752 6782604 7347821 8046714 8617128 9043472 10728952 13565208 14695642 16093428 17234256 21457904 22043463 27130416 29391284 32186856 40130407 44086926 58782568 64373712 80260814 88173852 117565136 120391221 160521628 176347704 240782442 321043256 352695408 481564884 521695291 642086512 963129768 1043390582 1565085873 1926259536 2086781164 3130171746 4173562328 6260343492 8347124656 12520686984 25041373968