Search a number
-
+
5146162325634 = 2311210196772577
BaseRepresentation
bin100101011100010111100…
…1011010110100010000010
3200012222010220022120202010
41022320233023112202002
51133303320023410014
614540040410233350
71040540462013321
oct112705713264202
920188126276663
105146162325634
111704525522100
126b143b425856
132b4386548195
1413b10b59a0b8
158dce4442359
hex4ae2f2d6882

5146162325634 has 96 divisors (see below), whose sum is σ = 11437034007168. Its totient is φ = 1542385152000.

The previous prime is 5146162325627. The next prime is 5146162325639. The reversal of 5146162325634 is 4365232616415.

It is not an unprimeable number, because it can be changed into a prime (5146162325639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70869954 + ... + 70942530.

It is an arithmetic number, because the mean of its divisors is an integer number (119135770908).

Almost surely, 25146162325634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146162325634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718517003584).

5146162325634 is an abundant number, since it is smaller than the sum of its proper divisors (6290871681534).

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

5146162325634 is a wasteful number, since it uses less digits than its factorization.

5146162325634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73672 (or 73661 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 5146162325634 in words is "five trillion, one hundred forty-six billion, one hundred sixty-two million, three hundred twenty-five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 967 1111 1934 2222 2901 3333 5802 6666 10637 12221 21274 24442 31911 36663 63822 72577 73326 97667 117007 145154 195334 217731 234014 293001 351021 435462 586002 702042 798347 1074337 1596694 2148674 2395041 3223011 4790082 6446022 7330277 8781817 11817707 14660554 17563634 21990831 23635414 26345451 35453121 43981662 52690902 70181959 70906242 80633047 140363918 161266094 210545877 241899141 421091754 483798282 772001549 886963517 1544003098 1773927034 2316004647 2660890551 4632009294 5321781102 7088377859 8492017039 14176755718 16984034078 21265133577 25476051117 42530267154 50952102234 77972156449 155944312898 233916469347 467832938694 857693720939 1715387441878 2573081162817 5146162325634