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328227013921 = 312184812
BaseRepresentation
bin1001100011010111101…
…10101100010100100001
31011101012201000220110011
410301223312230110201
520334202103421141
6410441352004521
732466525404512
oct4615366542441
91141181026404
10328227013921
11117222657684
1253742690741
1324c4aaa1701
1411c59d06a09
158810818881
hex4c6bdac521

328227013921 has 9 divisors (see below), whose sum is σ = 339174882099. Its totient is φ = 317621858400.

The previous prime is 328227013883. The next prime is 328227013927. The reversal of 328227013921 is 129310722823.

It is a happy number.

The square root of 328227013921 is 572911.

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., 310292447521 + 17934566400 = 557039^2 + 133920^2 .

It is not a de Polignac number, because 328227013921 - 221 = 328224916769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (328227013927) 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, 17751001 + ... + 17769481.

It is an arithmetic number, because the mean of its divisors is an integer number (37686098011).

Almost surely, 2328227013921 is an apocalyptic number.

328227013921 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

328227013921 is the 572911-st square number.

328227013921 is the 286456-th centered octagonal number.

It is an amenable number.

328227013921 is a deficient number, since it is larger than the sum of its proper divisors (10947868178).

328227013921 is an frugal number, since it uses more digits than its factorization.

328227013921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37024 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 328227013921 in words is "three hundred twenty-eight billion, two hundred twenty-seven million, thirteen thousand, nine hundred twenty-one".

Divisors: 1 31 961 18481 572911 17760241 341547361 10587968191 328227013921