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1628018112 = 26376911753
BaseRepresentation
bin110000100001001…
…1001010111000000
311012110101220000010
41201002121113000
511313233034422
6425314024520
755225632330
oct14102312700
94173356003
101628018112
11765a79116
12395278140
131cc395936
141163090c0
1597dd5b0c
hex610995c0

1628018112 has 112 divisors (see below), whose sum is σ = 4932753152. Its totient is φ = 464209920.

The previous prime is 1628018087. The next prime is 1628018123. The reversal of 1628018112 is 2118108261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1628018112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927828 + ... + 929580.

Almost surely, 21628018112 is an apocalyptic number.

1628018112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466376576).

1628018112 is an abundant number, since it is smaller than the sum of its proper divisors (3304735040).

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

1628018112 is a wasteful number, since it uses less digits than its factorization.

1628018112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1628018112 is about 40348.7064476669. The cubic root of 1628018112 is about 1176.3947492415.

The spelling of 1628018112 in words is "one billion, six hundred twenty-eight million, eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 691 1344 1382 1753 2073 2764 3506 4146 4837 5259 5528 7012 8292 9674 10518 11056 12271 14024 14511 16584 19348 21036 22112 24542 28048 29022 33168 36813 38696 42072 44224 49084 56096 58044 66336 73626 77392 84144 98168 112192 116088 132672 147252 154784 168288 196336 232176 294504 309568 336576 392672 464352 589008 785344 928704 1178016 1211323 2356032 2422646 3633969 4845292 7267938 8479261 9690584 14535876 16958522 19381168 25437783 29071752 33917044 38762336 50875566 58143504 67834088 77524672 101751132 116287008 135668176 203502264 232574016 271336352 407004528 542672704 814009056 1628018112