Search a number
-
+
8012260819 = 971137091031
BaseRepresentation
bin1110111011001000…
…10110010111010011
3202200101111000120201
413131210112113103
5112402114321234
63403014320031
7402360043663
oct73544262723
922611430521
108012260819
113441792162
121677359017
139a8c46a44
1456017a1a3
1531d61d314
hex1dd9165d3

8012260819 has 16 divisors (see below), whose sum is σ = 8185947840. Its totient is φ = 7840788480.

The previous prime is 8012260813. The next prime is 8012260903. The reversal of 8012260819 is 9180622108.

It is a cyclic number.

It is not a de Polignac number, because 8012260819 - 25 = 8012260787 is a prime.

It is a super-2 number, since 2×80122608192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8012260813) 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 15 ways as a sum of consecutive naturals, for example, 7770834 + ... + 7771864.

It is an arithmetic number, because the mean of its divisors is an integer number (511621740).

Almost surely, 28012260819 is an apocalyptic number.

8012260819 is a deficient number, since it is larger than the sum of its proper divisors (173687021).

8012260819 is a wasteful number, since it uses less digits than its factorization.

8012260819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 8012260819 is about 89511.2329207904. The cubic root of 8012260819 is about 2001.0212133895.

The spelling of 8012260819 in words is "eight billion, twelve million, two hundred sixty thousand, eight hundred nineteen".

Divisors: 1 97 113 709 1031 10961 68773 80117 100007 116503 730979 7771349 11300791 70904963 82600627 8012260819