Search a number
-
+
6422331392 = 21643253
BaseRepresentation
bin1011111101100110…
…10000000000000000
3121120120202020102122
411332303100000000
5101123104101032
62541140503412
7315102626141
oct57663200000
917516666378
106422331392
1127a62696a4
1212b29aab68
137b47289b9
1444cd47ac8
15278c5d012
hex17ecd0000

6422331392 has 102 divisors (see below), whose sum is σ = 13398339762. Its totient is φ = 3077308416.

The previous prime is 6422331367. The next prime is 6422331427. The reversal of 6422331392 is 2931332246.

It can be written as a sum of positive squares in only one way, i.e., 5937627136 + 484704256 = 77056^2 + 22016^2 .

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, 121176038 + ... + 121176090.

Almost surely, 26422331392 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 6422331392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699169881).

6422331392 is an abundant number, since it is smaller than the sum of its proper divisors (6976008370).

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

6422331392 is an frugal number, since it uses more digits than its factorization.

6422331392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 98 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 6422331392 is about 80139.4496611999. The cubic root of 6422331392 is about 1858.7924670832.

The spelling of 6422331392 in words is "six billion, four hundred twenty-two million, three hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 53 64 86 106 128 172 212 256 344 424 512 688 848 1024 1376 1696 1849 2048 2279 2752 3392 3698 4096 4558 5504 6784 7396 8192 9116 11008 13568 14792 16384 18232 22016 27136 29584 32768 36464 44032 54272 59168 65536 72928 88064 97997 108544 118336 145856 176128 195994 217088 236672 291712 352256 391988 434176 473344 583424 704512 783976 868352 946688 1166848 1409024 1567952 1736704 1893376 2333696 2818048 3135904 3473408 3786752 4667392 6271808 7573504 9334784 12543616 15147008 18669568 25087232 30294016 37339136 50174464 60588032 74678272 100348928 121176064 149356544 200697856 401395712 802791424 1605582848 3211165696 6422331392