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530072527076416 = 2617241241292
BaseRepresentation
bin111100010000110010010000…
…0101011100111110001000000
32120111211102211210202121221001
41320201210200223213301000
51023434202013412421131
65115211542431541344
7216436322236463362
oct17041444053476100
92514742753677831
10530072527076416
111439965506328a5
124b54b73498a854
13199a081796a06c
1494c790bcbad32
154143609ab1261
hex1e21920ae7c40

530072527076416 has 189 divisors, whose sum is σ = 1145571851718237. Its totient is φ = 243302909214720.

The previous prime is 530072527076383. The next prime is 530072527076431. The reversal of 530072527076416 is 614670725270035.

The square root of 530072527076416 is 23023304.

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

It can be written as a sum of positive squares in 13 ways, for example, as 375694486465600 + 154378040610816 = 19382840^2 + 12424896^2 .

It is a super-2 number, since 2×5300725270764162 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128377941040 + ... + 128377945168.

Almost surely, 2530072527076416 is an apocalyptic number.

530072527076416 is the 23023304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530072527076416

530072527076416 is an abundant number, since it is smaller than the sum of its proper divisors (615499324641821).

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

530072527076416 is an frugal number, since it uses more digits than its factorization.

530072527076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 530072527076416 in words is "five hundred thirty trillion, seventy-two billion, five hundred twenty-seven million, seventy-six thousand, four hundred sixteen".