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10505015016 = 233437708959
BaseRepresentation
bin10011100100010010…
…11100111011101000
31000010010001001111020
421302021130323220
5133003240440031
64454222532440
7521216103636
oct116211347350
930103031436
1010505015016
1145008972a1
122052137120
13cb550a122
14719262356
154173b7096
hex27225cee8

10505015016 has 16 divisors (see below), whose sum is σ = 26262537600. Its totient is φ = 3501671664.

The previous prime is 10505014997. The next prime is 10505015033. The reversal of 10505015016 is 61051050501.

10505015016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105050150162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 437708959 = 10505015016 / (1 + 0 + 5 + 0 + 5 + 0 + 1 + 5 + 0 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218854456 + ... + 218854503.

It is an arithmetic number, because the mean of its divisors is an integer number (1641408600).

Almost surely, 210505015016 is an apocalyptic number.

It is an amenable number.

10505015016 is an abundant number, since it is smaller than the sum of its proper divisors (15757522584).

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

10505015016 is a wasteful number, since it uses less digits than its factorization.

10505015016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437708968 (or 437708964 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10505015016 its reverse (61051050501), we get a palindrome (71556065517).

The spelling of 10505015016 in words is "ten billion, five hundred five million, fifteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 437708959 875417918 1313126877 1750835836 2626253754 3501671672 5252507508 10505015016