Search a number
-
+
8190636012 = 223213125913901
BaseRepresentation
bin1111010000011001…
…10010111111101100
3210010211010102100100
413220030302333230
5113233300323022
63432425431100
7406654154166
oct75014627754
923124112310
108190636012
113523445079
12170703b490
13a06b9c1b0
14579b2d936
1532e1051ac
hex1e8332fec

8190636012 has 72 divisors (see below), whose sum is σ = 22316046480. Its totient is φ = 2518012800.

The previous prime is 8190636011. The next prime is 8190636029. The reversal of 8190636012 is 2106360918.

8190636012 is a `hidden beast` number, since 8 + 1 + 9 + 0 + 636 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8190636011) 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 23 ways as a sum of consecutive naturals, for example, 582262 + ... + 596162.

It is an arithmetic number, because the mean of its divisors is an integer number (309945090).

Almost surely, 28190636012 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 8190636012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158023240).

8190636012 is an abundant number, since it is smaller than the sum of its proper divisors (14125410468).

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

8190636012 is a wasteful number, since it uses less digits than its factorization.

8190636012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8190636012 is about 90502.1326378556. The cubic root of 8190636012 is about 2015.7617909919.

The spelling of 8190636012 in words is "eight billion, one hundred ninety million, six hundred thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1259 2518 3777 5036 7554 11331 13901 15108 16367 22662 27802 32734 41703 45324 49101 55604 65468 83406 98202 125109 147303 166812 180713 196404 250218 294606 361426 500436 542139 589212 722852 1084278 1626417 2168556 3252834 6505668 17501359 35002718 52504077 70005436 105008154 157512231 210016308 227517667 315024462 455035334 630048924 682553001 910070668 1365106002 2047659003 2730212004 4095318006 8190636012