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26345223968 = 257240992
BaseRepresentation
bin11000100010010011…
…000011011100100000
32112000001012001011212
4120202103003130200
5412423334131333
620034113325252
71621600465100
oct304223033440
975001161155
1026345223968
111019a212778
125132b66828
13263b146a2b
1413bccbb200
15a42d47448
hex6224c3720

26345223968 has 54 divisors (see below), whose sum is σ = 60349990491. Its totient is φ = 11288055744.

The previous prime is 26345223953. The next prime is 26345223977. The reversal of 26345223968 is 86932254362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13172611984 + 13172611984 = 114772^2 + 114772^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=114772.

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 8 ways as a sum of consecutive naturals, for example, 6425183 + ... + 6429281.

Almost surely, 226345223968 is an apocalyptic number.

26345223968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26345223968 is an abundant number, since it is smaller than the sum of its proper divisors (34004766523).

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

26345223968 is an frugal number, since it uses more digits than its factorization.

26345223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 4108 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 50.

Multiplying 26345223968 by its sum of digits (50), we get a square (1317261198400 = 11477202).

The spelling of 26345223968 in words is "twenty-six billion, three hundred forty-five million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 4099 8198 16396 28693 32792 57386 65584 114772 131168 200851 229544 401702 459088 803404 918176 1606808 3213616 6427232 16801801 33603602 67207204 117612607 134414408 235225214 268828816 470450428 537657632 823288249 940900856 1646576498 1881801712 3293152996 3763603424 6586305992 13172611984 26345223968