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328890403116 = 2232111128773583
BaseRepresentation
bin1001100100100110110…
…01010100100100101100
31011102220221022120100100
410302103121110210230
520342031420344431
6411031250431100
732522132205012
oct4622331244454
91142827276310
10328890403116
11117533070810
12538a8892490
1325025362ab2
1411cc00708b2
15884dba84e6
hex4c9365492c

328890403116 has 72 divisors (see below), whose sum is σ = 907032881664. Its totient is φ = 99653574240.

The previous prime is 328890403103. The next prime is 328890403157. The reversal of 328890403116 is 611304098823.

328890403116 is a `hidden beast` number, since 328 + 8 + 9 + 0 + 4 + 0 + 311 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4432861 + ... + 4506443.

It is an arithmetic number, because the mean of its divisors is an integer number (12597678912).

Almost surely, 2328890403116 is an apocalyptic number.

328890403116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

328890403116 is an abundant number, since it is smaller than the sum of its proper divisors (578142478548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328890403116 is a wasteful number, since it uses less digits than its factorization.

328890403116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84891 (or 84886 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 328890403116 in words is "three hundred twenty-eight billion, eight hundred ninety million, four hundred three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 11287 22574 33861 45148 67722 73583 101583 124157 135444 147166 203166 220749 248314 294332 372471 406332 441498 496628 662247 744942 809413 882996 1117413 1324494 1489884 1618826 2234826 2428239 2648988 3237652 4469652 4856478 7284717 9712956 14569434 29138868 830531321 1661062642 2491593963 3322125284 4983187926 7474781889 9135844531 9966375852 14949563778 18271689062 27407533593 29899127556 36543378124 54815067186 82222600779 109630134372 164445201558 328890403116