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8382012416 = 2101512359
BaseRepresentation
bin1111100111001101…
…10101110000000000
3210122011020100102022
413303212311300000
5114131243344131
63503423341012
7414466633661
oct76346656000
923564210368
108382012416
113611477a98
12175b151768
13a3772727b
14597309368
15340d0937b
hex1f39b5c00

8382012416 has 66 divisors (see below), whose sum is σ = 16914524760. Its totient is φ = 4151654400.

The previous prime is 8382012409. The next prime is 8382012437. The reversal of 8382012416 is 6142102838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23348045 + ... + 23348403.

Almost surely, 28382012416 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 8382012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457262380).

8382012416 is an abundant number, since it is smaller than the sum of its proper divisors (8532512344).

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

8382012416 is an equidigital number, since it uses as much as digits as its factorization.

8382012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 8382012416 is about 91553.3309934707. The cubic root of 8382012416 is about 2031.3406834453.

The spelling of 8382012416 in words is "eight billion, three hundred eighty-two million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 359 512 604 718 1024 1208 1436 2416 2872 4832 5744 9664 11488 19328 22801 22976 38656 45602 45952 54209 77312 91204 91904 108418 154624 182408 183808 216836 364816 367616 433672 729632 867344 1459264 1734688 2918528 3469376 5837056 6938752 8185559 11674112 13877504 16371118 23348224 27755008 32742236 55510016 65484472 130968944 261937888 523875776 1047751552 2095503104 4191006208 8382012416