Search a number
-
+
4884215215168 = 26611553805589
BaseRepresentation
bin100011100010011000111…
…1010011011010001000000
3122021221000100121122002001
41013010301322123101000
51120010333043341133
614215435534433344
71012605256220602
oct107046172332100
918257010548061
104884215215168
111613425180a43
1266a715962854
1329576c282173
1412c57c1b7172
15870b285387d
hex47131e9b440

4884215215168 has 56 divisors (see below), whose sum is σ = 9857357135640. Its totient is φ = 2400523345920.

The previous prime is 4884215215153. The next prime is 4884215215183. The reversal of 4884215215168 is 8615125124884.

It is an interprime number because it is at equal distance from previous prime (4884215215153) and next prime (4884215215183).

It can be written as a sum of positive squares in 4 ways, for example, as 557781935104 + 4326433280064 = 746848^2 + 2080008^2 .

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, 5660118 + ... + 6465706.

It is an arithmetic number, because the mean of its divisors is an integer number (176024234565).

Almost surely, 24884215215168 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 4884215215168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928678567820).

4884215215168 is an abundant number, since it is smaller than the sum of its proper divisors (4973141920472).

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

4884215215168 is a wasteful number, since it uses less digits than its factorization.

4884215215168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807215 (or 807205 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 55.

The spelling of 4884215215168 in words is "four trillion, eight hundred eighty-four billion, two hundred fifteen million, two hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1553 1952 3106 3904 6212 12424 24848 49696 94733 99392 189466 378932 757864 805589 1515728 1611178 3031456 3222356 6062912 6444712 12889424 25778848 49140929 51557696 98281858 196563716 393127432 786254864 1251079717 1572509728 2502159434 3145019456 5004318868 10008637736 20017275472 40034550944 76315862737 80069101888 152631725474 305263450948 610526901896 1221053803792 2442107607584 4884215215168