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26425146672 = 243364794543
BaseRepresentation
bin11000100111000011…
…111011110100110000
32112012121120112112000
4120213003323310300
5413104314143142
620050050334000
71623561016641
oct304703736460
975177515460
1026425146672
11102303408a1
12515588a300
13265187ab82
1413c97636c8
15a49d8314c
hex6270fbd30

26425146672 has 80 divisors (see below), whose sum is σ = 75967994880. Its totient is φ = 8794675008.

The previous prime is 26425146617. The next prime is 26425146679. The reversal of 26425146672 is 27664152462.

26425146672 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 514 + 66 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (26425146679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232233 + ... + 326775.

It is an arithmetic number, because the mean of its divisors is an integer number (949599936).

Almost surely, 226425146672 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 26425146672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37983997440).

26425146672 is an abundant number, since it is smaller than the sum of its proper divisors (49542848208).

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

26425146672 is a wasteful number, since it uses less digits than its factorization.

26425146672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95207 (or 95195 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 26425146672 in words is "twenty-six billion, four hundred twenty-five million, one hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 647 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 17469 23292 31056 34938 46584 69876 93168 94543 139752 189086 279504 283629 378172 567258 756344 850887 1134516 1512688 1701774 2269032 2552661 3403548 4538064 5105322 6807096 10210644 13614192 20421288 40842576 61169321 122338642 183507963 244677284 367015926 489354568 550523889 734031852 978709136 1101047778 1468063704 1651571667 2202095556 2936127408 3303143334 4404191112 6606286668 8808382224 13212573336 26425146672