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2661105318740 = 2251121099630297
BaseRepresentation
bin100110101110010110001…
…111001011101101010100
3100102101210000010201110122
4212232112033023231110
5322044420430144430
65354254522211112
7363154445665301
oct46562617135524
910371700121418
102661105318740
11936628639800
1236b8a6953a98
13163c309425cb
1492b2630c0a8
154934c634ee5
hex26b963cbb54

2661105318740 has 36 divisors (see below), whose sum is σ = 6142534844628. Its totient is φ = 967674660480.

The previous prime is 2661105318719. The next prime is 2661105318743. The reversal of 2661105318740 is 478135011662.

It can be written as a sum of positive squares in 2 ways, for example, as 948430567876 + 1712674750864 = 973874^2 + 1308692^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2661105318691 and 2661105318700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661105318743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549812729 + ... + 549817568.

Almost surely, 22661105318740 is an apocalyptic number.

2661105318740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661105318740 is an abundant number, since it is smaller than the sum of its proper divisors (3481429525888).

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

2661105318740 is a wasteful number, since it uses less digits than its factorization.

2661105318740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099630328 (or 1099630315 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 2661105318740 in words is "two trillion, six hundred sixty-one billion, one hundred five million, three hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 1099630297 2199260594 4398521188 5498151485 10996302970 12095933267 21992605940 24191866534 48383733068 60479666335 120959332670 133055265937 241918665340 266110531874 532221063748 665276329685 1330552659370 2661105318740