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273232016656 = 2417276872
BaseRepresentation
bin1111111001110111100…
…1011011010100010000
3222010021000020120201121
43332131321123110100
513434034344013111
6325304314212024
725511641551514
oct3763571332420
9863230216647
10273232016656
11a5971394215
1244b54a24014
131c9c5235201
14d320058144
1571926a9871
hex3f9de5b510

273232016656 has 45 divisors (see below), whose sum is σ = 562432401669. Its totient is φ = 128563045632.

The previous prime is 273232016653. The next prime is 273232016671. The reversal of 273232016656 is 656610232372.

The square root of 273232016656 is 522716.

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., 212723888400 + 60508128256 = 461220^2 + 245984^2 .

It is a super-2 number, since 2×2732320166562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (273232016653) 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, 35540845 + ... + 35548531.

Almost surely, 2273232016656 is an apocalyptic number.

273232016656 is the 522716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273232016656

273232016656 is an abundant number, since it is smaller than the sum of its proper divisors (289200385013).

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

273232016656 is an frugal number, since it uses more digits than its factorization.

273232016656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15416 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 273232016656 in words is "two hundred seventy-three billion, two hundred thirty-two million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 7687 15374 30748 61496 122992 130679 261358 522716 1045432 2090864 2221543 4443086 8886172 17772344 35544688 59089969 118179938 236359876 472719752 945439504 1004529473 2009058946 4018117892 8036235784 16072471568 17077001041 34154002082 68308004164 136616008328 273232016656