Search a number
-
+
8027245286412 = 22311791729144519
BaseRepresentation
bin111010011001111110100…
…0110101001010000001100
31001102101201112012100121020
41310303331012221100030
52023004244243131122
625023355433034140
71455643423063152
oct164637506512014
931371645170536
108027245286412
112615376770170
12a97898255950
13462c73356b01
141da740cd13d2
15ddc18cecc5c
hex74cfd1a940c

8027245286412 has 96 divisors (see below), whose sum is σ = 20693294899200. Its totient is φ = 2401514606400.

The previous prime is 8027245286387. The next prime is 8027245286443. The reversal of 8027245286412 is 2146825427208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180288289 + ... + 180332807.

It is an arithmetic number, because the mean of its divisors is an integer number (215555155200).

Almost surely, 28027245286412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027245286412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346647449600).

8027245286412 is an abundant number, since it is smaller than the sum of its proper divisors (12666049612788).

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

8027245286412 is a wasteful number, since it uses less digits than its factorization.

8027245286412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61907 (or 61905 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 8027245286412 in words is "eight trillion, twenty-seven billion, two hundred forty-five million, two hundred eighty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 17291 34582 44519 51873 69164 89038 103746 133557 178076 190201 207492 267114 380402 489709 534228 570603 760804 979418 1141206 1365989 1469127 1958836 2282412 2731978 2938254 3517001 4097967 5463956 5876508 7034002 8195934 10551003 14068004 15025879 16391868 21102006 30051758 38687011 42204012 45077637 60103516 77374022 90155274 116061033 154748044 180310548 232122066 464244132 769778029 1539556058 2309334087 3079112116 4618668174 8467558319 9237336348 16935116638 25402674957 33870233276 50805349914 60812464291 101610699828 121624928582 182437392873 243249857164 364874785746 668937107201 729749571492 1337874214402 2006811321603 2675748428804 4013622643206 8027245286412