Search a number
-
+
212874979268 = 22721779932
BaseRepresentation
bin1100011001000001010…
…1100110011111000100
3202100110121211101202102
43012100111212133010
511441431443314033
6241443213331232
721244145316500
oct3062025463704
9670417741672
10212874979268
1182309415736
123530b496b18
13170c68298c3
14a435dc5300
15580d92cde8
hex31905667c4

212874979268 has 54 divisors (see below), whose sum is σ = 458901380826. Its totient is φ = 85854795264.

The previous prime is 212874979241. The next prime is 212874979337. The reversal of 212874979268 is 862979478212.

It can be written as a sum of positive squares in 3 ways, for example, as 683927104 + 212191052164 = 26152^2 + 460642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26628680 + ... + 26636672.

It is an arithmetic number, because the mean of its divisors is an integer number (8498173719).

Almost surely, 2212874979268 is an apocalyptic number.

212874979268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212874979268 is an abundant number, since it is smaller than the sum of its proper divisors (246026401558).

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

212874979268 is an frugal number, since it uses more digits than its factorization.

212874979268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 8019 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 65.

The spelling of 212874979268 in words is "two hundred twelve billion, eight hundred seventy-four million, nine hundred seventy-nine thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 7993 15986 31972 55951 111902 135881 223804 271762 391657 543524 783314 951167 1566628 1902334 3804668 6658169 13316338 26632676 63888049 127776098 255552196 447216343 894432686 1086096833 1788865372 2172193666 3130514401 4344387332 6261028802 7602677831 12522057604 15205355662 30410711324 53218744817 106437489634 212874979268