Search a number
-
+
706550033838 = 2311415115323
BaseRepresentation
bin10100100100000011010…
…10011110110110101110
32111112201200112120222210
422102001222132312232
543034003302040323
61300330135151250
7102021653124045
oct12220152366656
92445650476883
10706550033838
11252712090000
12b4b26215526
13518204886cc
14262a91b155c
15135a413d293
hexa481a9edae

706550033838 has 80 divisors (see below), whose sum is σ = 1555721354880. Its totient is φ = 213924176400.

The previous prime is 706550033837. The next prime is 706550033843. The reversal of 706550033838 is 838330055607.

706550033838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706550033837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132732645 + ... + 132737967.

It is an arithmetic number, because the mean of its divisors is an integer number (19446516936).

Almost surely, 2706550033838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706550033838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777860677440).

706550033838 is an abundant number, since it is smaller than the sum of its proper divisors (849171321042).

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

706550033838 is a wasteful number, since it uses less digits than its factorization.

706550033838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 706550033838 in words is "seven hundred six billion, five hundred fifty million, thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 1511 2662 3022 3993 4533 5323 7986 9066 10646 14641 15969 16621 29282 31938 33242 43923 49863 58553 87846 99726 117106 175659 182831 351318 365662 548493 644083 1096986 1288166 1932249 2011141 3864498 4022282 6033423 7084913 8043053 12066846 14169826 16086106 21254739 22122551 24129159 42509478 44245102 48258318 66367653 77934043 88473583 132735306 155868086 176947166 233802129 265420749 467604258 530841498 973209413 1946418826 2919628239 5839256478 10705303543 21410607086 32115910629 64231821258 117758338973 235516677946 353275016919 706550033838