Search a number
-
+
5114399892 = 2237222738317
BaseRepresentation
bin1001100001101011…
…11000110010010100
3111012102122102201020
410300311320302110
540433241244032
62203255201140
7240511452600
oct46065706224
914172572636
105114399892
112194a44378
12ba89761b0
13636774834
14367360500
151ee002b2c
hex130d78c94

5114399892 has 72 divisors (see below), whose sum is σ = 13943460384. Its totient is φ = 1454781888.

The previous prime is 5114399869. The next prime is 5114399897. The reversal of 5114399892 is 2989934115.

It is a super-3 number, since 3×51143998923 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114399897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114318 + ... + 152634.

It is an arithmetic number, because the mean of its divisors is an integer number (193659172).

Almost surely, 25114399892 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 5114399892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971730192).

5114399892 is an abundant number, since it is smaller than the sum of its proper divisors (8829060492).

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

5114399892 is a wasteful number, since it uses less digits than its factorization.

5114399892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38565 (or 38556 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 5114399892 is about 71515.0326295108. The cubic root of 5114399892 is about 1722.9191338784.

The spelling of 5114399892 in words is "five billion, one hundred fourteen million, three hundred ninety-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 227 294 454 588 681 908 1362 1589 2724 3178 4767 6356 9534 11123 19068 22246 33369 38317 44492 66738 76634 114951 133476 153268 229902 268219 459804 536438 804657 1072876 1609314 1877533 3218628 3755066 5632599 7510132 8697959 11265198 17395918 22530396 26093877 34791836 52187754 60885713 104375508 121771426 182657139 243542852 365314278 426199991 730628556 852399982 1278599973 1704799964 2557199946 5114399892