Search a number
-
+
5417385918 = 237734194217
BaseRepresentation
bin1010000101110011…
…01011111110111110
3111222112202201101220
411002321223332332
542043322322133
62253321214210
7251151010020
oct50271537676
914875681356
105417385918
11232aa7824a
121072331366
136844797c9
143956b0010
1521a9015b3
hex142e6bfbe

5417385918 has 64 divisors (see below), whose sum is σ = 12585162240. Its totient is φ = 1522616832.

The previous prime is 5417385913. The next prime is 5417385923. The reversal of 5417385918 is 8195837145.

It is an interprime number because it is at equal distance from previous prime (5417385913) and next prime (5417385923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417385913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282546 + ... + 1286762.

It is an arithmetic number, because the mean of its divisors is an integer number (196643160).

Almost surely, 25417385918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5417385918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292581120).

5417385918 is an abundant number, since it is smaller than the sum of its proper divisors (7167776322).

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

5417385918 is a wasteful number, since it uses less digits than its factorization.

5417385918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721.

The product of its digits is 1209600, while the sum is 51.

The square root of 5417385918 is about 73602.8934078002. The cubic root of 5417385918 is about 1756.2914678084.

The spelling of 5417385918 in words is "five billion, four hundred seventeen million, three hundred eighty-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 419 438 511 838 1022 1257 1533 2514 2933 3066 4217 5866 8434 8799 12651 17598 25302 29519 30587 59038 61174 88557 91761 177114 183522 214109 307841 428218 615682 642327 923523 1284654 1766923 1847046 2154887 3533846 4309774 5300769 6464661 10601538 12368461 12929322 24736922 37105383 74210766 128985379 257970758 386956137 773912274 902897653 1805795306 2708692959 5417385918