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4861739016 = 2333176012203
BaseRepresentation
bin1001000011100100…
…00100000000001000
3110112211012221011000
410201302010000020
534424101122031
62122231535000
7231323046141
oct44162040010
913484187130
104861739016
112075363532
12b3822a460
135c630cc64
14341990ac8
151d6c453e6
hex121c84008

4861739016 has 128 divisors (see below), whose sum is σ = 14329526400. Its totient is φ = 1522022400.

The previous prime is 4861738969. The next prime is 4861739039. The reversal of 4861739016 is 6109371684.

It is a happy number.

4861739016 is a `hidden beast` number, since 486 + 1 + 73 + 90 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2205771 + ... + 2207973.

It is an arithmetic number, because the mean of its divisors is an integer number (111949425).

Almost surely, 24861739016 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 4861739016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164763200).

4861739016 is an abundant number, since it is smaller than the sum of its proper divisors (9467787384).

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

4861739016 is a wasteful number, since it uses less digits than its factorization.

4861739016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4861739016 is about 69726.1716717618. The cubic root of 4861739016 is about 1694.0668620550.

The spelling of 4861739016 in words is "four billion, eight hundred sixty-one million, seven hundred thirty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 601 612 918 1202 1224 1803 1836 2203 2404 3606 3672 4406 4808 5409 6609 7212 8812 10217 10818 13218 14424 16227 17624 19827 20434 21636 26436 30651 32454 37451 39654 40868 43272 52872 59481 61302 64908 74902 79308 81736 91953 112353 118962 122604 129816 149804 158616 183906 224706 237924 245208 275859 299608 337059 367812 449412 475848 551718 674118 735624 898824 1011177 1103436 1324003 1348236 2022354 2206872 2648006 2696472 3972009 4044708 5296012 7944018 8089416 10592024 11916027 15888036 22508051 23832054 31776072 35748081 45016102 47664108 67524153 71496162 90032204 95328216 135048306 142992324 180064408 202572459 270096612 285984648 405144918 540193224 607717377 810289836 1215434754 1620579672 2430869508 4861739016