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26226266004 = 2232728507389
BaseRepresentation
bin11000011011001101…
…010000111110010100
32111200202100100112100
4120123031100332110
5412202411003004
620014223522100
71615624403631
oct303315207624
974622310470
1026226266004
1110139052904
1250bb159330
13261c5c61c3
1413ab193188
15a3769a739
hex61b350f94

26226266004 has 18 divisors (see below), whose sum is σ = 66294172490. Its totient is φ = 8742088656.

The previous prime is 26226265903. The next prime is 26226266041. The reversal of 26226266004 is 40066262262.

It is a happy number.

26226266004 is a `hidden beast` number, since 2 + 6 + 2 + 26 + 26 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17649653904 + 8576612100 = 132852^2 + 92610^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×262262660042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 728507389 = 26226266004 / (2 + 6 + 2 + 2 + 6 + 2 + 6 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 26226266004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364253659 + ... + 364253730.

Almost surely, 226226266004 is an apocalyptic number.

It is an amenable number.

26226266004 is an abundant number, since it is smaller than the sum of its proper divisors (40067906486).

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

26226266004 is a wasteful number, since it uses less digits than its factorization.

26226266004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728507399 (or 728507394 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 26226 and 266004, that added together give a triangular number (292230 = T764).

The spelling of 26226266004 in words is "twenty-six billion, two hundred twenty-six million, two hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 728507389 1457014778 2185522167 2914029556 4371044334 6556566501 8742088668 13113133002 26226266004