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5338853046 = 234314722619
BaseRepresentation
bin1001111100011100…
…00110111010110110
3111210001222211120000
410332032012322312
541413221244141
62241434052130
7246205334142
oct47616067266
914701884500
105338853046
11229a70934a
12104bb7a046
13671111157
143890aa222
15213a8c5b6
hex13e386eb6

5338853046 has 80 divisors (see below), whose sum is σ = 12612188160. Its totient is φ = 1685493360.

The previous prime is 5338853017. The next prime is 5338853053. The reversal of 5338853046 is 6403588335.

5338853046 is a `hidden beast` number, since 5 + 33 + 88 + 530 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5338852992 and 5338853010.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 224725 + ... + 247343.

It is an arithmetic number, because the mean of its divisors is an integer number (157652352).

Almost surely, 25338853046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338853046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306094080).

5338853046 is an abundant number, since it is smaller than the sum of its proper divisors (7273335114).

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

5338853046 is a wasteful number, since it uses less digits than its factorization.

5338853046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22711 (or 22702 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5338853046 is about 73067.4554504261. The cubic root of 5338853046 is about 1747.7634608025.

The spelling of 5338853046 in words is "five billion, three hundred thirty-eight million, eight hundred fifty-three thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 81 93 94 141 162 186 279 282 423 558 837 846 1269 1457 1674 2511 2538 2914 3807 4371 5022 7614 8742 13113 22619 26226 39339 45238 67857 78678 118017 135714 203571 236034 407142 610713 701189 1063093 1221426 1402378 1832139 2103567 2126186 3189279 3664278 4207134 6310701 6378558 9567837 12621402 18932103 19135674 28703511 32955883 37864206 56796309 57407022 65911766 86110533 98867649 113592618 172221066 197735298 296602947 593205894 889808841 1779617682 2669426523 5338853046