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2523436343252 = 2211217306688909
BaseRepresentation
bin100100101110001000100…
…001101101111111010100
322221020102121200011012122
4210232020201231333110
5312320444200441002
65211130050235112
7350212051003646
oct44561041557724
98836377604178
102523436343252
11893202036900
12349085885a98
13153c60c98b76
148a1c6506896
15459913b26a2
hex24b8886dfd4

2523436343252 has 36 divisors (see below), whose sum is σ = 5139492753780. Its totient is φ = 1079544956160.

The previous prime is 2523436343221. The next prime is 2523436343257.

2523436343252 is nontrivially palindromic in base 10.

2523436343252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1945282930756 + 578153412496 = 1394734^2 + 760364^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523436343257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153336227 + ... + 153352682.

It is an arithmetic number, because the mean of its divisors is an integer number (142763687605).

Almost surely, 22523436343252 is an apocalyptic number.

2523436343252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2523436343252 is an abundant number, since it is smaller than the sum of its proper divisors (2616056410528).

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

2523436343252 is a wasteful number, since it uses less digits than its factorization.

2523436343252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306688952 (or 306688939 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 44.

The spelling of 2523436343252 in words is "two trillion, five hundred twenty-three billion, four hundred thirty-six million, three hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 306688909 613377818 1226755636 3373577999 5213711453 6747155998 10427422906 13494311996 20854845812 37109357989 57350825983 74218715978 114701651966 148437431956 229403303932 630859085813 1261718171626 2523436343252