Search a number
-
+
5353424604 = 223211101137977
BaseRepresentation
bin1001111110001011…
…01100011011011100
3111211002102010222100
410333011230123130
541430434041404
62243114245100
7246443233623
oct47705543334
914732363870
105353424604
1122a7961160
121054a26790
13674143788
1438adc06ba
15214eb9d39
hex13f16c6dc

5353424604 has 144 divisors (see below), whose sum is σ = 15032830176. Its totient is φ = 1592832000.

The previous prime is 5353424603. The next prime is 5353424617. The reversal of 5353424604 is 4064243535.

5353424604 is a `hidden beast` number, since 5 + 3 + 5 + 3 + 42 + 4 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5353424603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5478964 + ... + 5479940.

It is an arithmetic number, because the mean of its divisors is an integer number (104394654).

Almost surely, 25353424604 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 5353424604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516415088).

5353424604 is an abundant number, since it is smaller than the sum of its proper divisors (9679405572).

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

5353424604 is a wasteful number, since it uses less digits than its factorization.

5353424604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5353424604 is about 73167.1005575593. The cubic root of 5353424604 is about 1749.3520980074.

The spelling of 5353424604 in words is "five billion, three hundred fifty-three million, four hundred twenty-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 137 198 202 274 303 396 404 411 548 606 822 909 977 1111 1212 1233 1507 1644 1818 1954 2222 2466 2931 3014 3333 3636 3908 4444 4521 4932 5862 6028 6666 8793 9042 9999 10747 11724 13332 13563 13837 17586 18084 19998 21494 27126 27674 32241 35172 39996 41511 42988 54252 55348 64482 83022 96723 98677 124533 128964 133849 152207 166044 193446 197354 249066 267698 296031 304414 386892 394708 401547 456621 498132 535396 592062 608828 803094 888093 913242 1085447 1184124 1204641 1369863 1472339 1606188 1776186 1826484 2170894 2409282 2739726 2944678 3256341 3552372 4341788 4417017 4818564 5479452 5889356 6512682 8834034 9769023 13025364 13251051 13518749 17668068 19538046 26502102 27037498 39076092 40556247 53004204 54074996 81112494 121668741 148706239 162224988 243337482 297412478 446118717 486674964 594824956 892237434 1338356151 1784474868 2676712302 5353424604