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328253147653 = 2941733781849
BaseRepresentation
bin1001100011011010110…
…10011000101000000101
31011101021112012122012011
410301231122120220011
520334230301211103
6410444124054221
732500263501244
oct4615532305005
91141245178164
10328253147653
11117236387302
125374b394371
1324c53321962
1411c5d58a95b
158812c7bd6d
hex4c6d698a05

328253147653 has 16 divisors (see below), whose sum is σ = 352619694000. Its totient is φ = 304968222720.

The previous prime is 328253147549. The next prime is 328253147657. The reversal of 328253147653 is 356741352823.

It can be written as a sum of positive squares in 8 ways, for example, as 98656925409 + 229596222244 = 314097^2 + 479162^2 .

It is a cyclic number.

It is not a de Polignac number, because 328253147653 - 233 = 319663213061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 328253147597 and 328253147606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328253147657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1804128 + ... + 1977721.

It is an arithmetic number, because the mean of its divisors is an integer number (22038730875).

Almost surely, 2328253147653 is an apocalyptic number.

It is an amenable number.

328253147653 is a deficient number, since it is larger than the sum of its proper divisors (24366546347).

328253147653 is a wasteful number, since it uses less digits than its factorization.

328253147653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781992.

The product of its digits is 3628800, while the sum is 49.

The spelling of 328253147653 in words is "three hundred twenty-eight billion, two hundred fifty-three million, one hundred forty-seven thousand, six hundred fifty-three".

Divisors: 1 29 41 73 1189 2117 2993 86797 3781849 109673621 155055809 276074977 4496618461 8006174333 11319074057 328253147653