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332874764209 = 132443812
BaseRepresentation
bin1001101100000001110…
…00011100111110110001
31011211012121121002020201
410312000320130332301
520423211414423314
6412530501235201
733022642545061
oct4660070347661
91154177532221
10332874764209
11119198143219
125461b102b01
132550b96a100
141217b2b33a1
1589d388eb74
hex4d80e1cfb1

332874764209 has 9 divisors (see below), whose sum is σ = 360458310369. Its totient is φ = 307262089680.

The previous prime is 332874764197. The next prime is 332874764267. The reversal of 332874764209 is 902467478233.

The square root of 332874764209 is 576953.

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 76101498225 + 256773265984 = 275865^2 + 506728^2 .

It is not a de Polignac number, because 332874764209 - 225 = 332841209777 is a prime.

It is a super-2 number, since 2×3328747642092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332874764209.

It is not an unprimeable number, because it can be changed into a prime (332874764309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7478199 + ... + 7522579.

Almost surely, 2332874764209 is an apocalyptic number.

332874764209 is the 576953-rd square number.

332874764209 is the 288477-th centered octagonal number.

It is an amenable number.

332874764209 is a deficient number, since it is larger than the sum of its proper divisors (27583546160).

332874764209 is an frugal number, since it uses more digits than its factorization.

332874764209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88788 (or 44394 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 55.

The spelling of 332874764209 in words is "three hundred thirty-two billion, eight hundred seventy-four million, seven hundred sixty-four thousand, two hundred nine".

Divisors: 1 13 169 44381 576953 7500389 1969673161 25605751093 332874764209