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5206505652 = 2232479731723
BaseRepresentation
bin1001101100101010…
…01111100010110100
3111102211221220001200
410312111033202310
541130331140102
62220345252500
7243010365525
oct46625174264
914384856050
105206505652
112231a33837
121013794130
1364c88309a
1437569884c
1520714851c
hex13654f8b4

5206505652 has 72 divisors (see below), whose sum is σ = 13579902336. Its totient is φ = 1681012224.

The previous prime is 5206505651. The next prime is 5206505677. The reversal of 5206505652 is 2565056025.

It is a super-2 number, since 2×52065056522 = 54215402208615890208, which contains 22 as substring.

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 (5206505651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148263 + ... + 179985.

Almost surely, 25206505652 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 5206505652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789951168).

5206505652 is an abundant number, since it is smaller than the sum of its proper divisors (8373396684).

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

5206505652 is a wasteful number, since it uses less digits than its factorization.

5206505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31877 (or 31872 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5206505652 is about 72156.1199899219. The cubic root of 5206505652 is about 1733.2004032016.

The spelling of 5206505652 in words is "five billion, two hundred six million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 97 141 188 194 282 291 388 423 564 582 846 873 1164 1692 1746 3492 4559 9118 13677 18236 27354 31723 41031 54708 63446 82062 95169 126892 164124 190338 285507 380676 571014 1142028 1490981 2981962 3077131 4472943 5963924 6154262 8945886 9231393 12308524 13418829 17891772 18462786 26837658 27694179 36925572 53675316 55388358 110776716 144625157 289250314 433875471 578500628 867750942 1301626413 1735501884 2603252826 5206505652