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19714228146 = 2334323093677
BaseRepresentation
bin10010010111000011…
…110011111110110010
31212212220210112222000
4102113003303332302
5310333320300041
613020120154430
71265352113544
oct222703637662
955786715860
1019714228146
1183a7193438
1239a2308a16
131b2241c072
14d50377694
157a5b1cbb6
hex4970f3fb2

19714228146 has 64 divisors (see below), whose sum is σ = 44859830400. Its totient is φ = 6414061248.

The previous prime is 19714228129. The next prime is 19714228147. The reversal of 19714228146 is 64182241791.

19714228146 is a `hidden beast` number, since 19 + 71 + 422 + 8 + 146 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19714228147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5359660 + ... + 5363336.

It is an arithmetic number, because the mean of its divisors is an integer number (700934850).

Almost surely, 219714228146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19714228146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429915200).

19714228146 is an abundant number, since it is smaller than the sum of its proper divisors (25145602254).

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

19714228146 is a wasteful number, since it uses less digits than its factorization.

19714228146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 6034 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 19714228146 in words is "nineteen billion, seven hundred fourteen million, two hundred twenty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2309 2322 3677 4618 6927 7354 11031 13854 20781 22062 33093 41562 62343 66186 99279 99287 124686 158111 198558 198574 297861 316222 474333 595722 893583 948666 1422999 1787166 2680749 2845998 4268997 5361498 8490193 8537994 16980386 25470579 50941158 76411737 152823474 229235211 365078299 458470422 730156598 1095234897 2190469794 3285704691 6571409382 9857114073 19714228146