Search a number
-
+
329888260881 = 321914532
BaseRepresentation
bin1001100110011101101…
…11110110001100010001
31011112111110221222212100
410303032313312030101
520401102343322011
6411314254151013
732555636644224
oct4631667661421
91145443858770
10329888260881
111179a5361053
1253b26ab2469
1325153cccb8a
1411d767c15bb
1588ab5b4d56
hex4ccedf6311

329888260881 has 9 divisors (see below), whose sum is σ = 476507754619. Its totient is φ = 219924358536.

The previous prime is 329888260861. The next prime is 329888260883. The reversal of 329888260881 is 188062888923.

The square root of 329888260881 is 574359.

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

329888260881 is a `hidden beast` number, since 3 + 298 + 8 + 8 + 260 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326560817025 + 3327443856 = 571455^2 + 57684^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 329888260881 - 213 = 329888252689 is a prime.

It is a super-2 number, since 2×3298882608812 (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 (329888260883) 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, 1627351 + ... + 1818803.

Almost surely, 2329888260881 is an apocalyptic number.

329888260881 is the 574359-th square number.

329888260881 is the 287180-th centered octagonal number.

It is an amenable number.

329888260881 is a deficient number, since it is larger than the sum of its proper divisors (146619493738).

329888260881 is an frugal number, since it uses more digits than its factorization.

329888260881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382912 (or 191456 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 329888260881 in words is "three hundred twenty-nine billion, eight hundred eighty-eight million, two hundred sixty thousand, eight hundred eighty-one".

Divisors: 1 3 9 191453 574359 1723077 36654251209 109962753627 329888260881