Search a number
-
+
845490878766 = 232190769246223
BaseRepresentation
bin11000100110110110010…
…11101111100100101110
32222211100201020211010100
430103123023233210232
5102323031131110031
61444225123451530
7115041023614512
oct14233313574456
92884321224110
10845490878766
112a6630617276
12117a41226ba6
136196379b011
142ccc9c94142
1516ed6d95de6
hexc4db2ef92e

845490878766 has 24 divisors (see below), whose sum is σ = 1831913946720. Its totient is φ = 281827670976.

The previous prime is 845490878761. The next prime is 845490878801. The reversal of 845490878766 is 667878094548.

845490878766 is a `hidden beast` number, since 8 + 4 + 5 + 490 + 8 + 78 + 7 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 845490878694 and 845490878703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845490878761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3310731 + ... + 3556953.

It is an arithmetic number, because the mean of its divisors is an integer number (76329747780).

Almost surely, 2845490878766 is an apocalyptic number.

845490878766 is an abundant number, since it is smaller than the sum of its proper divisors (986423067954).

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

845490878766 is a wasteful number, since it uses less digits than its factorization.

845490878766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437000 (or 436997 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 845490878766 in words is "eight hundred forty-five billion, four hundred ninety million, eight hundred seventy-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 190769 246223 381538 492446 572307 738669 1144614 1477338 1716921 2216007 3433842 4432014 46971715487 93943430974 140915146461 281830292922 422745439383 845490878766