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328129458550336 = 2622642932
BaseRepresentation
bin100101010011011101001011…
…1110100010011011001000000
31121000210212111010220020200201
41022212322113310103121000
5321002033112342102321
63121512331532254544
7126054366605165152
oct11246722764233100
91530725433806621
10328129458550336
1195608a16041763
123097582b911454
1311112623c48ac1
145b0579c936ad2
1527e0600bb9291
hex12a6e97d13640

328129458550336 has 21 divisors (see below), whose sum is σ = 651132181876161. Its totient is φ = 164064656817792.

The previous prime is 328129458550321. The next prime is 328129458550381. The reversal of 328129458550336 is 633055854921823.

The square root of 328129458550336 is 18114344.

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., 54883797889600 + 273245660660736 = 7408360^2 + 16530144^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 143782606 + ... + 146046898.

Almost surely, 2328129458550336 is an apocalyptic number.

328129458550336 is the 18114344-th square number.

It is an amenable number.

328129458550336 is a deficient number, since it is larger than the sum of its proper divisors (323002723325825).

328129458550336 is an frugal number, since it uses more digits than its factorization.

328129458550336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528598 (or 2264295 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 64.

328129458550336 divided by its sum of digits (64) gives a square (5127022789849 = 22642932).

The spelling of 328129458550336 in words is "three hundred twenty-eight trillion, one hundred twenty-nine billion, four hundred fifty-eight million, five hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 2264293 4528586 9057172 18114344 36228688 72457376 144914752 5127022789849 10254045579698 20508091159396 41016182318792 82032364637584 164064729275168 328129458550336