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220082446950976 = 26293263292
BaseRepresentation
bin110010000010100111110000…
…000100100110001001000000
31001212020200021010120121221001
4302002213300010212021000
5212321312322404412401
62100024251431541344
764233301126013041
oct6202476004461100
91055220233517831
10220082446950976
11641414948479a5
122082555222a854
1395a58bb6219bc
143c4c0939bc8c8
151a69cb2141601
hexc829f0126240

220082446950976 has 63 divisors (see below), whose sum is σ = 438290976813931. Its totient is φ = 109648328674304.

The previous prime is 220082446950943. The next prime is 220082446950983. The reversal of 220082446950976 is 679059644280022.

The square root of 220082446950976 is 14835176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 119478016360000 + 100604430590976 = 10930600^2 + 10030176^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34773649380 + ... + 34773655708.

Almost surely, 2220082446950976 is an apocalyptic number.

220082446950976 is the 14835176-th square number.

It is an amenable number.

220082446950976 is a deficient number, since it is larger than the sum of its proper divisors (218208529862955).

220082446950976 is an frugal number, since it uses more digits than its factorization.

220082446950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

220082446950976 divided by its sum of digits (64) gives a square (3438788233609 = 18543972).

The spelling of 220082446950976 in words is "two hundred twenty trillion, eighty-two billion, four hundred forty-six million, nine hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 293 586 1172 2344 4688 6329 9376 12658 18752 25316 50632 85849 101264 171698 202528 343396 405056 686792 1373584 1854397 2747168 3708794 5494336 7417588 14835176 29670352 40056241 59340704 80112482 118681408 160224964 320449928 543338321 640899856 1086676642 1281799712 2173353284 2563599424 4346706568 8693413136 11736478613 17386826272 23472957226 34773652544 46945914452 93891828904 187783657808 375567315616 751134631232 3438788233609 6877576467218 13755152934436 27510305868872 55020611737744 110041223475488 220082446950976