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126182000881 = 4713968328279
BaseRepresentation
bin111010110000100001…
…0001000100011110001
3110001200211200210110001
41311201002020203301
54031410043012011
6133544530110001
712054623211406
oct1654102104361
9401624623401
10126182000881
11495714a4962
122055611b301
13bb8bba7961
1461703b02ad
153437a8e7c1
hex1d610888f1

126182000881 has 16 divisors (see below), whose sum is σ = 129988454400. Its totient is φ = 122424963408.

The previous prime is 126182000869. The next prime is 126182000921. The reversal of 126182000881 is 188000281621.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 126182000881 - 213 = 126181992689 is a prime.

It is a super-2 number, since 2×1261820008812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126182000881.

It is not an unprimeable number, because it can be changed into a prime (126182000831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4447900 + ... + 4476178.

It is an arithmetic number, because the mean of its divisors is an integer number (8124278400).

Almost surely, 2126182000881 is an apocalyptic number.

126182000881 is the 189874-th nonagonal number.

It is an amenable number.

126182000881 is a deficient number, since it is larger than the sum of its proper divisors (3806453519).

126182000881 is a wasteful number, since it uses less digits than its factorization.

126182000881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29148.

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 126182000881 in words is "one hundred twenty-six billion, one hundred eighty-two million, eight hundred eighty-one", and thus it is an aban number.

Divisors: 1 47 139 683 6533 28279 32101 94937 1329113 3930781 4462039 19314557 184746707 907784179 2684723423 126182000881