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5191321146 = 2311295945971
BaseRepresentation
bin1001101010110110…
…10100011000111010
3111101210101102211120
410311123110120322
541112434234041
62215044010110
7242434334034
oct46533243072
914353342746
105191321146
112224402460
12100a690936
1364969777b
14373664c54
15205b49366
hex1356d463a

5191321146 has 64 divisors (see below), whose sum is σ = 11915942400. Its totient is φ = 1493105600.

The previous prime is 5191321133. The next prime is 5191321147. The reversal of 5191321146 is 6411231915.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5191321147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89941 + ... + 135911.

It is an arithmetic number, because the mean of its divisors is an integer number (186186600).

Almost surely, 25191321146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5191321146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957971200).

5191321146 is an abundant number, since it is smaller than the sum of its proper divisors (6724621254).

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

5191321146 is a wasteful number, since it uses less digits than its factorization.

5191321146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46075.

The product of its digits is 6480, while the sum is 33.

The square root of 5191321146 is about 72050.8233540742. The cubic root of 5191321146 is about 1731.5138325887.

The spelling of 5191321146 in words is "five billion, one hundred ninety-one million, three hundred twenty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 87 118 174 177 319 354 638 649 957 1298 1711 1914 1947 3422 3894 5133 10266 18821 37642 45971 56463 91942 112926 137913 275826 505681 1011362 1333159 1517043 2666318 2712289 3034086 3999477 5424578 7998954 8136867 14664749 16273734 29329498 29835179 43994247 59670358 78656381 87988494 89505537 157312762 179011074 235969143 471938286 865220191 1730440382 2595660573 5191321146