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4819806656 = 26783912823
BaseRepresentation
bin1000111110100100…
…00110100111000000
3110102220022112202122
410133102012213000
534332332303111
62114133103412
7230303452310
oct43722064700
913386275678
104819806656
112053723095
12b26187b68
135ba71aa02
1433a197440
151d3210cdb
hex11f4869c0

4819806656 has 56 divisors (see below), whose sum is σ = 10944514560. Its totient is φ = 2063008512.

The previous prime is 4819806647. The next prime is 4819806679. The reversal of 4819806656 is 6566089184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4819806598 and 4819806607.

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, 369461 + ... + 382283.

It is an arithmetic number, because the mean of its divisors is an integer number (195437760).

Almost surely, 24819806656 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 4819806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472257280).

4819806656 is an abundant number, since it is smaller than the sum of its proper divisors (6124707904).

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

4819806656 is a wasteful number, since it uses less digits than its factorization.

4819806656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The square root of 4819806656 is about 69424.8273746503. The cubic root of 4819806656 is about 1689.1823660614.

The spelling of 4819806656 in words is "four billion, eight hundred nineteen million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 839 1678 3356 5873 6712 11746 12823 13424 23492 25646 26848 46984 51292 53696 89761 93968 102584 179522 187936 205168 359044 375872 410336 718088 820672 1436176 2872352 5744704 10758497 21516994 43033988 75309479 86067976 150618958 172135952 301237916 344271904 602475832 688543808 1204951664 2409903328 4819806656