Search a number
-
+
145946836782 = 232171732756939
BaseRepresentation
bin1000011111101100011…
…0111111111100101110
3111221201021201111012100
42013323012333330232
54342344342234112
6151014055115530
713354461433605
oct2077306777456
9457637644170
10145946836782
115699420368a
1224351372ba6
13109bb935926
1470c735ca3c
153be2d572dc
hex21fb1bff2e

145946836782 has 48 divisors (see below), whose sum is σ = 336754707120. Its totient is φ = 45522560256.

The previous prime is 145946836781. The next prime is 145946836817. The reversal of 145946836782 is 287638649541.

145946836782 is a `hidden beast` number, since 1 + 4 + 594 + 6 + 8 + 36 + 7 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145946836781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325532 + ... + 1431407.

It is an arithmetic number, because the mean of its divisors is an integer number (7015723065).

Almost surely, 2145946836782 is an apocalyptic number.

145946836782 is an abundant number, since it is smaller than the sum of its proper divisors (190807870338).

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

145946836782 is a wasteful number, since it uses less digits than its factorization.

145946836782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757137 (or 2757134 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 145946836782 in words is "one hundred forty-five billion, nine hundred forty-six million, eight hundred thirty-six thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 1038 1557 2941 3114 5882 8823 17646 26469 52938 2756939 5513878 8270817 16541634 24812451 46867963 49624902 93735926 140603889 281207778 421811667 476950447 843623334 953900894 1430851341 2861702682 4292554023 8108157599 8585108046 16216315198 24324472797 48648945594 72973418391 145946836782