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26443668672 = 263315303049
BaseRepresentation
bin11000101000001010…
…100101110011000000
32112020220102112221000
4120220022211303000
5413124034344142
620051551332000
71624204321641
oct305012456300
975226375830
1026443668672
111023a841733
12515bb21000
132655664635
1413cbdc56c8
15a4b7e114c
hex6282a5cc0

26443668672 has 56 divisors (see below), whose sum is σ = 77739494000. Its totient is φ = 8814555648.

The previous prime is 26443668661. The next prime is 26443668683. The reversal of 26443668672 is 27686634462.

26443668672 is a `hidden beast` number, since 2 + 64 + 436 + 6 + 86 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (26443668661) and next prime (26443668683).

It is a super-2 number, since 2×264436686722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 7 ways as a sum of consecutive naturals, for example, 7649797 + ... + 7653252.

It is an arithmetic number, because the mean of its divisors is an integer number (1388205250).

Almost surely, 226443668672 is an apocalyptic number.

It is an amenable number.

26443668672 is an abundant number, since it is smaller than the sum of its proper divisors (51295825328).

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

26443668672 is a wasteful number, since it uses less digits than its factorization.

26443668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303070 (or 15303054 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 26443668672 in words is "twenty-six billion, four hundred forty-three million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 15303049 30606098 45909147 61212196 91818294 122424392 137727441 183636588 244848784 275454882 367273176 413182323 489697568 550909764 734546352 826364646 979395136 1101819528 1469092704 1652729292 2203639056 2938185408 3305458584 4407278112 6610917168 8814556224 13221834336 26443668672