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5162353144 = 23131725111633
BaseRepresentation
bin1001100111011001…
…10100000111111000
3111022202212201012121
410303230310013320
541033030300034
62212131051024
7241633164154
oct46354640770
914282781177
105162353144
11220a017363
121000a40a74
13643694440
1436d884064
152033261b4
hex133b341f8

5162353144 has 64 divisors (see below), whose sum is σ = 11082083040. Its totient is φ = 2233344000.

The previous prime is 5162353111. The next prime is 5162353153. The reversal of 5162353144 is 4413532615.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 437952 + ... + 449584.

Almost surely, 25162353144 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 5162353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541041520).

5162353144 is an abundant number, since it is smaller than the sum of its proper divisors (5919729896).

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

5162353144 is a wasteful number, since it uses less digits than its factorization.

5162353144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11916 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 5162353144 is about 71849.5173539809. The cubic root of 5162353144 is about 1728.2871598887.

Adding to 5162353144 its reverse (4413532615), we get a palindrome (9575885759).

The spelling of 5162353144 in words is "five billion, one hundred sixty-two million, three hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 251 442 502 884 1004 1768 2008 3263 4267 6526 8534 11633 13052 17068 23266 26104 34136 46532 55471 93064 110942 151229 197761 221884 302458 395522 443768 604916 791044 1209832 1582088 2570893 2919883 5141786 5839766 10283572 11679532 20567144 23359064 37958479 49638011 75916958 99276022 151833916 198552044 303667832 397104088 645294143 1290588286 2581176572 5162353144