Search a number
-
+
500055008076 = 2232136863155689
BaseRepresentation
bin1110100011011011001…
…10011110001101001100
31202210201200201102010200
413101231212132031030
531143103040224301
61021415550133500
751061554302631
oct7215546361514
91683650642120
10500055008076
11183088019918
1280ab74b1290
133820266a830
141a2ba662188
15d01a89bc86
hex746d99e34c

500055008076 has 72 divisors (see below), whose sum is σ = 1361467947840. Its totient is φ = 153839672064.

The previous prime is 500055008071. The next prime is 500055008077. The reversal of 500055008076 is 670800550005.

500055008076 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 5 + 500 + 80 + 76 = 666.

It is a super-2 number, since 2×5000550080762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 500055008076.

It is not an unprimeable number, because it can be changed into a prime (500055008071) 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, 3134040 + ... + 3289728.

Almost surely, 2500055008076 is an apocalyptic number.

It is an amenable number.

500055008076 is an abundant number, since it is smaller than the sum of its proper divisors (861412939764).

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

500055008076 is a wasteful number, since it uses less digits than its factorization.

500055008076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162575 (or 162570 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 500055008076 in words is "five hundred billion, fifty-five million, eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6863 13726 20589 27452 41178 61767 82356 89219 123534 155689 178438 247068 267657 311378 356876 467067 535314 622756 802971 934134 1070628 1401201 1605942 1868268 2023957 2802402 3211884 4047914 5604804 6071871 8095828 12143742 18215613 24287484 36431226 72862452 1068493607 2136987214 3205480821 4273974428 6410961642 9616442463 12821923284 13890416891 19232884926 27780833782 38465769852 41671250673 55561667564 83342501346 125013752019 166685002692 250027504038 500055008076