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20006184456 = 23323767112087
BaseRepresentation
bin10010101000011101…
…100010011000001000
31220122021011110201200
4102220131202120020
5311433040400311
613105105544200
71305525522246
oct225035423010
956567143650
1020006184456
118536a73545
123a64045060
131b6aa6188b
14d7b055796
157c158d556
hex4a8762608

20006184456 has 96 divisors (see below), whose sum is σ = 56478901440. Its totient is φ = 6391592064.

The previous prime is 20006184431. The next prime is 20006184469. The reversal of 20006184456 is 65448160002.

20006184456 is a `hidden beast` number, since 20 + 0 + 0 + 6 + 184 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20006184456.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122445 + ... + 234531.

It is an arithmetic number, because the mean of its divisors is an integer number (588321890).

Almost surely, 220006184456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20006184456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28239450720).

20006184456 is an abundant number, since it is smaller than the sum of its proper divisors (36472716984).

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

20006184456 is a wasteful number, since it uses less digits than its factorization.

20006184456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112203 (or 112196 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20006184456 in words is "twenty billion, six million, one hundred eighty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 67 72 74 111 134 148 201 222 268 296 333 402 444 536 603 666 804 888 1206 1332 1608 2412 2479 2664 4824 4958 7437 9916 14874 19832 22311 29748 44622 59496 89244 112087 178488 224174 336261 448348 672522 896696 1008783 1345044 2017566 2690088 4035132 4147219 7509829 8070264 8294438 12441657 15019658 16588876 22529487 24883314 30039316 33177752 37324971 45058974 49766628 60078632 67588461 74649942 90117948 99533256 135176922 149299884 180235896 270353844 277863673 298599768 540707688 555727346 833591019 1111454692 1667182038 2222909384 2500773057 3334364076 5001546114 6668728152 10003092228 20006184456