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328800028833 = 323116320893461
BaseRepresentation
bin1001100100011100000…
…00100100100010100001
31011102200122021002010200
410302032000210202201
520341340301410313
6411014301415413
732516654063103
oct4621600444241
91142618232120
10328800028833
11117497054221
125388256a569
132500c70c6a3
1411cb2067573
158845ca5b73
hex4c8e0248a1

328800028833 has 48 divisors (see below), whose sum is σ = 493640209920. Its totient is φ = 210665836800.

The previous prime is 328800028819. The next prime is 328800028849. The reversal of 328800028833 is 338820008823.

It is a happy number.

It is not a de Polignac number, because 328800028833 - 28 = 328800028577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (328800028853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94999723 + ... + 95003183.

It is an arithmetic number, because the mean of its divisors is an integer number (10284171040).

Almost surely, 2328800028833 is an apocalyptic number.

It is an amenable number.

328800028833 is a deficient number, since it is larger than the sum of its proper divisors (164840181087).

328800028833 is a wasteful number, since it uses less digits than its factorization.

328800028833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 328800028833 in words is "three hundred twenty-eight billion, eight hundred million, twenty-eight thousand, eight hundred thirty-three".

Divisors: 1 3 9 31 93 163 279 489 1467 2089 3461 5053 6267 10383 15159 18801 31149 45477 64759 107291 194277 321873 340507 564143 582831 965619 1021521 1692429 3064563 5077287 7230029 10555717 17488433 21690087 31667151 52465299 65070261 95001453 157395897 224130899 672392697 1178494727 2017178091 3535484181 10606452543 36533336537 109600009611 328800028833