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5109442416 = 243513101089
BaseRepresentation
bin1001100001000101…
…11110011101110000
3111012002022120100000
410300202332131300
540431004124131
62203001030000
7240421354401
oct46042763560
914162276300
105109442416
112192168791
12ba7185300
1363572a210
1436682d9a8
151ed873ce6
hex1308be770

5109442416 has 120 divisors (see below), whose sum is σ = 15969793840. Its totient is φ = 1572120576.

The previous prime is 5109442397. The next prime is 5109442441. The reversal of 5109442416 is 6142449015.

5109442416 is a `hidden beast` number, since 510 + 94 + 42 + 4 + 16 = 666.

5109442416 is a nontrivial binomial coefficient, being equal to C(101089, 2).

It is a super-2 number, since 2×51094424162 = 52212803604839834112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 101088.

Almost surely, 25109442416 is an apocalyptic number.

5109442416 is the 101088-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984896920).

5109442416 is an abundant number, since it is smaller than the sum of its proper divisors (10860351424).

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

5109442416 is a wasteful number, since it uses less digits than its factorization.

5109442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101125 (or 101107 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5109442416 is about 71480.3638491019. The cubic root of 5109442416 is about 1722.3622688387.

The spelling of 5109442416 in words is "five billion, one hundred nine million, four hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 101089 202178 303267 404356 606534 808712 909801 1213068 1314157 1617424 1819602 2426136 2628314 2729403 3639204 3942471 4852272 5256628 5458806 7278408 7884942 8188209 10513256 10917612 11827413 14556816 15769884 16376418 21026512 21835224 23654826 24564627 31539768 32752836 35482239 43670448 47309652 49129254 63079536 65505672 70964478 94619304 98258508 106446717 131011344 141928956 189238608 196517016 212893434 283857912 319340151 393034032 425786868 567715824 638680302 851573736 1277360604 1703147472 2554721208 5109442416