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2532525105640 = 2352516212
BaseRepresentation
bin100100110110100110010…
…000100110000111101000
322222002220000210010022211
4210312212100212013220
5312443102411340030
65215232002054504
7350653222134325
oct44664620460750
98862800703284
102532525105640
11897046443582
1234a9a164a434
13154a7bc5698a
148a809625b4c
1545d2427412a
hex24da64261e8

2532525105640 has 24 divisors (see below), whose sum is σ = 5698204133670. Its totient is φ = 1013006016320.

The previous prime is 2532525105613. The next prime is 2532525105641. The reversal of 2532525105640 is 465015252352.

It can be written as a sum of positive squares in 3 ways, for example, as 963212696356 + 1569312409284 = 981434^2 + 1252722^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2532525105593 and 2532525105602.

It is not an unprimeable number, because it can be changed into a prime (2532525105641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9939030 + ... + 10190650.

Almost surely, 22532525105640 is an apocalyptic number.

2532525105640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2532525105640 is an abundant number, since it is smaller than the sum of its proper divisors (3165679028030).

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

2532525105640 is an frugal number, since it uses more digits than its factorization.

2532525105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503253 (or 251628 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Multiplying 2532525105640 by its sum of digits (40), we get a square (101301004225600 = 100648402).

2532525105640 divided by its sum of digits (40) gives a square (63313127641 = 2516212).

The spelling of 2532525105640 in words is "two trillion, five hundred thirty-two billion, five hundred twenty-five million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 251621 503242 1006484 1258105 2012968 2516210 5032420 10064840 63313127641 126626255282 253252510564 316565638205 506505021128 633131276410 1266262552820 2532525105640