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26140611240 = 23325531370053
BaseRepresentation
bin11000010110000110…
…100001001010101000
32111110210011122021200
4120112012201022220
5412013444024430
620001524004200
71613534346402
oct302606411250
974423148250
1026140611240
11100a476a147
125096530660
132607936003
14139da57b72
15a2edcb460
hex6161a12a8

26140611240 has 96 divisors (see below), whose sum is σ = 86560011720. Its totient is φ = 6839299584.

The previous prime is 26140611229. The next prime is 26140611251. The reversal of 26140611240 is 4211604162.

26140611240 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 0 + 611 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (26140611229) and next prime (26140611251).

It can be written as a sum of positive squares in 4 ways, for example, as 25145713476 + 994897764 = 158574^2 + 31542^2 .

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 23 ways as a sum of consecutive naturals, for example, 665947 + ... + 704106.

Almost surely, 226140611240 is an apocalyptic number.

26140611240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26140611240 is an abundant number, since it is smaller than the sum of its proper divisors (60419400480).

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

26140611240 is a wasteful number, since it uses less digits than its factorization.

26140611240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370123 (or 1370116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 26140611240 in words is "twenty-six billion, one hundred forty million, six hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 1370053 2740106 4110159 5480212 6850265 8220318 10960424 12330477 13700530 16440636 20550795 24660954 27401060 32881272 41101590 49321908 54802120 61652385 72612809 82203180 98643816 123304770 145225618 164406360 217838427 246609540 290451236 363064045 435676854 493219080 580902472 653515281 726128090 871353708 1089192135 1307030562 1452256180 1742707416 2178384270 2614061124 2904512360 3267576405 4356768540 5228122248 6535152810 8713537080 13070305620 26140611240