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328032253081 = 13433892
BaseRepresentation
bin1001100011000000011…
…11101111010010011001
31011100201010120000210201
410301200033233102121
520333302224044311
6410410153342201
732461642100611
oct4614017572231
91140633500721
10328032253081
11117132722a05
12536a9407961
1324c19630000
1411c3c0c9a41
1587ed6969c1
hex4c603ef499

328032253081 has 15 divisors (see below), whose sum is σ = 355472207051. Its totient is φ = 302709655248.

The previous prime is 328032253069. The next prime is 328032253097. The reversal of 328032253081 is 180352230823.

It is a happy number.

The square root of 328032253081 is 572741.

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

It can be written as a sum of positive squares in 7 ways, for example, as 218033897481 + 109998355600 = 466941^2 + 331660^2 .

It is a de Polignac number, because none of the positive numbers 2k-328032253081 is a prime.

It is a super-2 number, since 2×3280322530812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328032253081.

It is not an unprimeable number, because it can be changed into a prime (328032253061) 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 14 ways as a sum of consecutive naturals, for example, 96791535 + ... + 96794923.

Almost surely, 2328032253081 is an apocalyptic number.

328032253081 is the 572741-st square number.

328032253081 is the 286371-st centered octagonal number.

It is an amenable number.

328032253081 is a deficient number, since it is larger than the sum of its proper divisors (27439953970).

328032253081 is an frugal number, since it uses more digits than its factorization.

328032253081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 328032253081 in words is "three hundred twenty-eight billion, thirty-two million, two hundred fifty-three thousand, eighty-one".

Divisors: 1 13 169 2197 3389 28561 44057 572741 7445633 11485321 96793229 149309173 1941019249 25233250237 328032253081