Search a number
-
+
26451686900 = 22521491775281
BaseRepresentation
bin11000101000101001…
…001011010111110100
32112021110111220212102
4120220221023113310
5413133112440100
620052435241232
71624332425462
oct305051132764
975243456772
1026451686900
1110244318971
125162749218
132657211152
1413cd0b1832
15a4c376cd5
hex628a4b5f4

26451686900 has 36 divisors (see below), whose sum is σ = 57785429100. Its totient is φ = 10509657600.

The previous prime is 26451686881. The next prime is 26451686923. The reversal of 26451686900 is 968615462.

It can be written as a sum of positive squares in 6 ways, for example, as 4030218256 + 22421468644 = 63484^2 + 149738^2 .

It is a super-2 number, since 2×264516869002 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 872741 + ... + 902540.

Almost surely, 226451686900 is an apocalyptic number.

26451686900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26451686900 is an abundant number, since it is smaller than the sum of its proper divisors (31333742200).

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

26451686900 is a wasteful number, since it uses less digits than its factorization.

26451686900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775444 (or 1775437 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 26451686900 in words is "twenty-six billion, four hundred fifty-one million, six hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 1775281 3550562 7101124 8876405 17752810 35505620 44382025 88764050 177528100 264516869 529033738 1058067476 1322584345 2645168690 5290337380 6612921725 13225843450 26451686900