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26482354756 = 221121325692
BaseRepresentation
bin11000101010011110…
…001010101001000100
32112100121020000020221
4120222132022221010
5413213440323011
620055452434124
71625154205234
oct305236125104
975317200227
1026482354756
111025a665100
125170a78944
13266068b100
1413d31b5cc4
15a4edd3971
hex62a78aa44

26482354756 has 81 divisors (see below), whose sum is σ = 55257245463. Its totient is φ = 11091949440.

The previous prime is 26482354753. The next prime is 26482354771. The reversal of 26482354756 is 65745328462.

The square root of 26482354756 is 162734.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12514896900 + 13967457856 = 111870^2 + 118184^2 .

It is a super-2 number, since 2×264823547562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26482354751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46541640 + ... + 46542208.

Almost surely, 226482354756 is an apocalyptic number.

26482354756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

26482354756 is the 162734-th square number.

It is an amenable number.

26482354756 is an abundant number, since it is smaller than the sum of its proper divisors (28774890707).

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

26482354756 is a wasteful number, since it uses less digits than its factorization.

26482354756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 52.

The spelling of 26482354756 in words is "twenty-six billion, four hundred eighty-two million, three hundred fifty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 569 572 676 1138 1573 1859 2276 3146 3718 6259 6292 7397 7436 12518 14794 20449 25036 29588 40898 68849 81367 81796 96161 137698 162734 192322 275396 323761 325468 384644 647522 895037 1057771 1295044 1790074 2115542 3561371 3580148 4208893 4231084 7122742 8417786 11635481 14245484 16835572 23270962 39175081 46297823 46541924 54715609 78350162 92595646 109431218 156700324 185191292 218862436 509276053 601871699 1018552106 1203743398 2037104212 2407486796 6620588689 13241177378 26482354756