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4473661842 = 23213531372633
BaseRepresentation
bin1000010101010011…
…01010100110010010
3102112202222120100100
410022221222212102
533130224134332
62015530033230
7215601332616
oct41251524622
912482876310
104473661842
1119962a13a1
12a4a278816
13563ab44b0
14306211346
151b2b3967c
hex10aa6a992

4473661842 has 96 divisors (see below), whose sum is σ = 10717198128. Its totient is φ = 1340172288.

The previous prime is 4473661813. The next prime is 4473661867. The reversal of 4473661842 is 2481663744.

It can be written as a sum of positive squares in 8 ways, for example, as 1278134001 + 3195527841 = 35751^2 + 56529^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697758 + ... + 1700390.

Almost surely, 24473661842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4473661842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358599064).

4473661842 is an abundant number, since it is smaller than the sum of its proper divisors (6243536286).

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

4473661842 is a wasteful number, since it uses less digits than its factorization.

4473661842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2841 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4473661842 is about 66885.4381909844. The cubic root of 4473661842 is about 1647.7363316605.

The spelling of 4473661842 in words is "four billion, four hundred seventy-three million, six hundred sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 137 159 234 274 318 411 477 689 822 954 1233 1378 1781 2067 2466 2633 3562 4134 5266 5343 6201 7261 7899 10686 12402 14522 15798 16029 21783 23697 32058 34229 43566 47394 65349 68458 94393 102687 130698 139549 188786 205374 279098 283179 308061 360721 418647 566358 616122 721442 837294 849537 1082163 1255941 1699074 1814137 2164326 2511882 3246489 3628274 4689373 5442411 6492978 9378746 10884822 14068119 16327233 19118213 28136238 32654466 38236426 42204357 57354639 84408714 114709278 172063917 248536769 344127834 497073538 745610307 1491220614 2236830921 4473661842