Search a number
-
+
790562826496 = 286129112
BaseRepresentation
bin10111000000100010011…
…01110110100100000000
32210120120200102122200001
423200101031312210000
5100423033040421441
61403102441005344
7111054612102442
oct13402115664400
92716520378601
10790562826496
11285304118653
12109271a83854
135971ba70941
142a398c70492
151586ea5c731
hexb811376900

790562826496 has 81 divisors (see below), whose sum is σ = 1606094073129. Its totient is φ = 388374604800.

The previous prime is 790562826461. The next prime is 790562826497. The reversal of 790562826496 is 694628265097.

The square root of 790562826496 is 889136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25707632896 + 764855193600 = 160336^2 + 874560^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (790562826497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 867796281 + ... + 867797191.

Almost surely, 2790562826496 is an apocalyptic number.

790562826496 is the 889136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790562826496

790562826496 is an abundant number, since it is smaller than the sum of its proper divisors (815531246633).

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

790562826496 is an frugal number, since it uses more digits than its factorization.

790562826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 790562826496 by its sum of digits (64), we get a square (50596020895744 = 71130882).

790562826496 divided by its sum of digits (64) gives a square (12352544164 = 1111422).

The spelling of 790562826496 in words is "seven hundred ninety billion, five hundred sixty-two million, eight hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 911 976 1822 1952 3644 3721 3904 7288 7442 7808 14576 14884 15616 29152 29768 55571 58304 59536 111142 116608 119072 222284 233216 238144 444568 476288 829921 889136 952576 1659842 1778272 3319684 3389831 3556544 6639368 6779662 7113088 13278736 13559324 14226176 26557472 27118648 50625181 53114944 54237296 101250362 106229888 108474592 202500724 212459776 216949184 405001448 433898368 810002896 867796736 1620005792 3088136041 3240011584 6176272082 6480023168 12352544164 12960046336 24705088328 49410176656 98820353312 197640706624 395281413248 790562826496