Search a number
-
+
5085162963 = 332953181677
BaseRepresentation
bin1001011110001100…
…10110110111010011
3111010101122001012000
410233012112313103
540403300203323
62200332405043
7240005112666
oct45706266723
914111561160
105085162963
11217a495221
12b9b016783
136306a8c8a
1436350d6dd
151eb679e43
hex12f196dd3

5085162963 has 64 divisors (see below), whose sum is σ = 7996060800. Its totient is φ = 3188989440.

The previous prime is 5085162959. The next prime is 5085163003. The reversal of 5085162963 is 3692615805.

5085162963 is a `hidden beast` number, since 50 + 8 + 516 + 29 + 63 = 666.

It is not a de Polignac number, because 5085162963 - 22 = 5085162959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5085162463) 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, 7510981 + ... + 7511657.

It is an arithmetic number, because the mean of its divisors is an integer number (124938450).

Almost surely, 25085162963 is an apocalyptic number.

5085162963 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

5085162963 is a deficient number, since it is larger than the sum of its proper divisors (2910897837).

5085162963 is a wasteful number, since it uses less digits than its factorization.

5085162963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5085162963 is about 71310.3285856965. The cubic root of 5085162963 is about 1719.6297836466.

The spelling of 5085162963 in words is "five billion, eighty-five million, one hundred sixty-two thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 29 53 87 159 181 261 477 543 677 783 1431 1537 1629 2031 4611 4887 5249 6093 9593 13833 15747 18279 19633 28779 35881 41499 47241 58899 86337 107643 122537 141723 176697 259011 278197 322929 367611 530091 834591 968787 1040549 1102833 2503773 3121647 3308499 3553573 6494461 7511319 9364941 10660719 19483383 28094823 31982157 58450149 95946471 175350447 188339369 565018107 1695054321 5085162963