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5481638643 = 31319311271879
BaseRepresentation
bin1010001101011101…
…10010101011110011
3112011000200002120110
411012232302223303
542211244414033
62303534312403
7252561105525
oct50656625363
915130602513
105481638643
112363273278
12108b958703
13694885380
143a0037a15
15221394363
hex146bb2af3

5481638643 has 64 divisors (see below), whose sum is σ = 8624537600. Its totient is φ = 3066698880.

The previous prime is 5481638641. The next prime is 5481638671. The reversal of 5481638643 is 3468361845.

It is not a de Polignac number, because 5481638643 - 21 = 5481638641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5481638592 and 5481638601.

It is not an unprimeable number, because it can be changed into a prime (5481638641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916378 + ... + 2918256.

It is an arithmetic number, because the mean of its divisors is an integer number (134758400).

Almost surely, 25481638643 is an apocalyptic number.

5481638643 is a deficient number, since it is larger than the sum of its proper divisors (3142898957).

5481638643 is a wasteful number, since it uses less digits than its factorization.

5481638643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072.

The product of its digits is 1658880, while the sum is 48.

The square root of 5481638643 is about 74038.0891366059. The cubic root of 5481638643 is about 1763.2076750955.

The spelling of 5481638643 in words is "five billion, four hundred eighty-one million, six hundred thirty-eight thousand, six hundred forty-three".

Divisors: 1 3 13 19 31 39 57 93 127 247 381 403 589 741 1209 1651 1767 1879 2413 3937 4953 5637 7239 7657 11811 22971 24427 31369 35701 51181 58249 73281 74803 94107 107103 153543 174747 224409 238633 464113 715899 757237 972439 1106731 1392339 2271711 2917317 3102229 3320193 4534027 7397623 9306687 13602081 14387503 22192869 43162509 58942351 96169099 140554837 176827053 288507297 421664511 1827212881 5481638643