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216451460752 = 2479331705309
BaseRepresentation
bin1100100110010110000…
…0110010111010010000
3202200200212121111000121
43021211200302322100
512021243033221002
6243234134000024
721431604026302
oct3114540627220
9680625544017
10216451460752
118388423015a
1235b491a6014
1317546793c37
14a694db1972
15596c8e6237
hex3265832e90

216451460752 has 20 divisors (see below), whose sum is σ = 419427815740. Its totient is φ = 108212024448.

The previous prime is 216451460651. The next prime is 216451460759. The reversal of 216451460752 is 257064154612.

216451460752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 135103294096 + 81348166656 = 367564^2 + 285216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216451460699 and 216451460708.

It is not an unprimeable number, because it can be changed into a prime (216451460759) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 725727 + ... + 979582.

It is an arithmetic number, because the mean of its divisors is an integer number (20971390787).

Almost surely, 2216451460752 is an apocalyptic number.

It is an amenable number.

216451460752 is a deficient number, since it is larger than the sum of its proper divisors (202976354988).

216451460752 is a wasteful number, since it uses less digits than its factorization.

216451460752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713250 (or 1713244 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 216451460752 in words is "two hundred sixteen billion, four hundred fifty-one million, four hundred sixty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 7933 15866 31732 63464 126928 1705309 3410618 6821236 13642472 27284944 13528216297 27056432594 54112865188 108225730376 216451460752