Search a number
-
+
1032126540016 = 241113992945433
BaseRepresentation
bin11110000010011111000…
…10010010100011110000
310122200002200011202100111
433001033202102203300
5113402243343240031
62110052525431104
7134366025560005
oct17011742224360
93580080152314
101032126540016
113687a4584a10
1214804910b494
13764380b1930
1437d530898ac
151bcabdeb1b1
hexf04f8928f0

1032126540016 has 80 divisors (see below), whose sum is σ = 2349639300960. Its totient is φ = 433006940160.

The previous prime is 1032126539897. The next prime is 1032126540019. The reversal of 1032126540016 is 6100456212301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1032126540016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032126540019) 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, 22694836 + ... + 22740268.

It is an arithmetic number, because the mean of its divisors is an integer number (29370491262).

Almost surely, 21032126540016 is an apocalyptic number.

1032126540016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1032126540016 is an abundant number, since it is smaller than the sum of its proper divisors (1317512760944).

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

1032126540016 is a wasteful number, since it uses less digits than its factorization.

1032126540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55394 (or 55388 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 1032126540016 in words is "one trillion, thirty-two billion, one hundred twenty-six million, five hundred forty thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 9929 19858 39716 45433 79432 90866 109219 129077 158864 181732 218438 258154 363464 436876 499763 516308 590629 726928 873752 999526 1032616 1181258 1419847 1747504 1999052 2065232 2362516 2839694 3998104 4725032 5679388 6496919 7996208 9450064 11358776 12993838 22717552 25987676 51975352 103950704 451104257 902208514 1804417028 3608834056 4962146827 5864355341 7217668112 9924293654 11728710682 19848587308 23457421364 39697174616 46914842728 64507908751 79394349232 93829685456 129015817502 258031635004 516063270008 1032126540016