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3946097512 = 2372910722709
BaseRepresentation
bin1110101100110100…
…1010101101101000
3101012000021112010201
43223031022231220
531040200110022
61451322321544
7166534163320
oct35315125550
911160245121
103946097512
111745518515
129216592b4
134ab6cac56
14296122280
15181679127
hexeb34ab68

3946097512 has 64 divisors (see below), whose sum is σ = 8829648000. Its totient is φ = 1617536256.

The previous prime is 3946097501. The next prime is 3946097527. The reversal of 3946097512 is 2157906493.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162414 + ... + 185122.

It is an arithmetic number, because the mean of its divisors is an integer number (137963250).

Almost surely, 23946097512 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 3946097512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414824000).

3946097512 is an abundant number, since it is smaller than the sum of its proper divisors (4883550488).

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

3946097512 is a wasteful number, since it uses less digits than its factorization.

3946097512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22854 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 3946097512 is about 62817.9712502720. The cubic root of 3946097512 is about 1580.2383756137.

It can be divided in two parts, 394 and 6097512, that added together give a palindrome (6097906).

The spelling of 3946097512 in words is "three billion, nine hundred forty-six million, ninety-seven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 107 116 203 214 232 406 428 749 812 856 1498 1624 2996 3103 5992 6206 12412 21721 22709 24824 43442 45418 86884 90836 158963 173768 181672 317926 635852 658561 1271704 1317122 2429863 2634244 4609927 4859726 5268488 9219854 9719452 17009041 18439708 19438904 34018082 36879416 68036164 70466027 136072328 140932054 281864108 493262189 563728216 986524378 1973048756 3946097512