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26253090248 = 23721121929131
BaseRepresentation
bin11000011100110011…
…100101110111001000
32111202121211011110212
4120130303211313020
5412231242341443
620021022500252
71616401404500
oct303463456710
974677734425
1026253090248
1110152204300
125108134688
132625028838
1413b0976a00
15a39be8618
hex61cce5dc8

26253090248 has 144 divisors (see below), whose sum is σ = 66254907600. Its totient is φ = 9689803200.

The previous prime is 26253090221. The next prime is 26253090257. The reversal of 26253090248 is 84209035262.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 886643 + ... + 915773.

It is an arithmetic number, because the mean of its divisors is an integer number (460103525).

Almost surely, 226253090248 is an apocalyptic number.

26253090248 is a gapful number since it is divisible by the number (28) 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 26253090248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33127453800).

26253090248 is an abundant number, since it is smaller than the sum of its proper divisors (40001817352).

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

26253090248 is a wasteful number, since it uses less digits than its factorization.

26253090248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29192 (or 29170 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 26253090248 in words is "twenty-six billion, two hundred fifty-three million, ninety thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 121 133 152 154 196 209 242 266 308 392 418 484 532 539 616 836 847 931 968 1064 1078 1463 1672 1694 1862 2156 2299 2926 3388 3724 4312 4598 5852 5929 6776 7448 9196 10241 11704 11858 16093 18392 20482 23716 29131 32186 40964 47432 58262 64372 81928 112651 116524 128744 203917 225302 233048 320441 407834 450604 553489 640882 815668 901208 1106978 1281764 1427419 1631336 2213956 2243087 2563528 2854838 3524851 3874423 4427912 4486174 5709676 6088379 7049702 7748846 8972348 11419352 12176758 14099404 15497692 15701609 17944696 24353516 24673957 27120961 28198808 30995384 31403218 42618653 48707032 49347914 54241922 62806436 66972169 85237306 98695828 108483844 125612872 133944338 170474612 172717699 197391656 216967688 267888676 298330571 340949224 345435398 468805183 535777352 596661142 690870796 937610366 1193322284 1381741592 1875220732 2386644568 3281636281 3750441464 6563272562 13126545124 26253090248