Search a number
-
+
5763261122016 = 25389674538989
BaseRepresentation
bin101001111011101110100…
…1000011100010111100000
3202101221222120120111022020
41103313131020130113200
51223411124321401031
620131334451141440
71133244661152546
oct123673510342740
922357876514266
105763261122016
111922204723482
12790b605a4880
1332a61c7aa788
1415cd2c6b9d96
159edb04a0096
hex53ddd21c5e0

5763261122016 has 48 divisors (see below), whose sum is σ = 15298544293200. Its totient is φ = 1899501790208.

The previous prime is 5763261121993. The next prime is 5763261122071. The reversal of 5763261122016 is 6102211623675.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×57632611220162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337260951 + ... + 337278038.

It is an arithmetic number, because the mean of its divisors is an integer number (318719672775).

Almost surely, 25763261122016 is an apocalyptic number.

It is an amenable number.

5763261122016 is an abundant number, since it is smaller than the sum of its proper divisors (9535283171184).

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

5763261122016 is a wasteful number, since it uses less digits than its factorization.

5763261122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674539091 (or 674539083 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 5763261122016 in words is "five trillion, seven hundred sixty-three billion, two hundred sixty-one million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 674538989 1349077978 2023616967 2698155956 4047233934 5396311912 8094467868 10792623824 16188935736 21585247648 32377871472 60033970021 64755742944 120067940042 180101910063 240135880084 360203820126 480271760168 720407640252 960543520336 1440815280504 1921087040672 2881630561008 5763261122016