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2036640097881 = 32192250372
BaseRepresentation
bin11101101000110001001…
…101011010011001011001
321012200220221122200020100
4131220301031122121121
5231332014331113011
64155341453250013
7300066561124614
oct35506115323131
97180827580210
102036640097881
11715809270714
1228a86a793909
1311a0924c006c
1470806b2b17b
1537e9ea2cd56
hex1da3135a659

2036640097881 has 27 divisors (see below), whose sum is σ = 3104918843871. Its totient is φ = 1286247633264.

The previous prime is 2036640097783. The next prime is 2036640097907. The reversal of 2036640097881 is 1887900466302.

The square root of 2036640097881 is 1427109.

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

It can be written as a sum of positive squares in only one way, i.e., 1005838497225 + 1030801600656 = 1002915^2 + 1015284^2 .

It is a de Polignac number, because none of the positive numbers 2k-2036640097881 is a prime.

It is a super-2 number, since 2×20366400978812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2036640027881) 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, 81332695 + ... + 81357731.

Almost surely, 22036640097881 is an apocalyptic number.

2036640097881 is the 1427109-th square number.

2036640097881 is the 713555-th centered octagonal number.

It is an amenable number.

2036640097881 is a deficient number, since it is larger than the sum of its proper divisors (1068278745990).

2036640097881 is an frugal number, since it uses more digits than its factorization.

2036640097881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50118 (or 25059 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2036640097881 in words is "two trillion, thirty-six billion, six hundred forty million, ninety-seven thousand, eight hundred eighty-one".

Divisors: 1 3 9 19 57 171 361 1083 3249 25037 75111 225333 475703 1427109 4281327 9038357 27115071 81345213 626851369 1880554107 5641662321 11910176011 35730528033 107191584099 226293344209 678880032627 2036640097881