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26809477696 = 269722112
BaseRepresentation
bin11000111101111110…
…000010101001000000
32120012101202120120101
4120331332002221000
5414401211241241
620152140052144
71636235541361
oct307576025100
976171676511
1026809477696
1110408284441
125242534054
1326b3394491
141424809b68
15a6d99de31
hex63df82a40

26809477696 has 63 divisors (see below), whose sum is σ = 54010132137. Its totient is φ = 13203671040.

The previous prime is 26809477657. The next prime is 26809477703. The reversal of 26809477696 is 69677490862.

The square root of 26809477696 is 163736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12038478400 + 14770999296 = 109720^2 + 121536^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127059031 + ... + 127059241.

Almost surely, 226809477696 is an apocalyptic number.

26809477696 is the 163736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26809477696

26809477696 is an abundant number, since it is smaller than the sum of its proper divisors (27200654441).

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

26809477696 is an frugal number, since it uses more digits than its factorization.

26809477696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 26809477696 by its sum of digits (64), we get a square (1715806572544 = 13098882).

26809477696 divided by its sum of digits (64) gives a square (418898089 = 204672).

The spelling of 26809477696 in words is "twenty-six billion, eight hundred nine million, four hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 97 194 211 388 422 776 844 1552 1688 3104 3376 6208 6752 9409 13504 18818 20467 37636 40934 44521 75272 81868 89042 150544 163736 178084 301088 327472 356168 602176 654944 712336 1309888 1424672 1985299 2849344 3970598 4318537 7941196 8637074 15882392 17274148 31764784 34548296 63529568 69096592 127059136 138193184 276386368 418898089 837796178 1675592356 3351184712 6702369424 13404738848 26809477696