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25283308640 = 2551098271753
BaseRepresentation
bin10111100011000000…
…001010110001100000
32102021001000011012112
4113203000022301200
5403240011334030
615340501014452
71553354402042
oct274300126140
972231004175
1025283308640
11a7a484aaa7
124a973b4428
1324cc13bb75
14131bc53a92
159ce9d5a95
hex5e300ac60

25283308640 has 96 divisors (see below), whose sum is σ = 60387132960. Its totient is φ = 10002714624.

The previous prime is 25283308621. The next prime is 25283308663. The reversal of 25283308640 is 4680338252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14422004 + ... + 14423756.

It is an arithmetic number, because the mean of its divisors is an integer number (629032635).

Almost surely, 225283308640 is an apocalyptic number.

25283308640 is a gapful number since it is divisible by the number (20) 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 25283308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193566480).

25283308640 is an abundant number, since it is smaller than the sum of its proper divisors (35103824320).

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

25283308640 is a wasteful number, since it uses less digits than its factorization.

25283308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 25283308640 in words is "twenty-five billion, two hundred eighty-three million, three hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 827 872 1090 1654 1744 1753 2180 3308 3488 3506 4135 4360 6616 7012 8270 8720 8765 13232 14024 16540 17440 17530 26464 28048 33080 35060 56096 66160 70120 90143 132320 140240 180286 191077 280480 360572 382154 450715 721144 764308 901430 955385 1442288 1449731 1528616 1802860 1910770 2884576 2899462 3057232 3605720 3821540 5798924 6114464 7211440 7248655 7643080 11597848 14422880 14497310 15286160 23195696 28994620 30572320 46391392 57989240 115978480 158020679 231956960 316041358 632082716 790103395 1264165432 1580206790 2528330864 3160413580 5056661728 6320827160 12641654320 25283308640