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32540504130 = 2325438408399
BaseRepresentation
bin11110010011100100…
…001011000001000010
310002222210200212212200
4132103210023001002
51013120332113010
622540543534030
72231245502301
oct362344130102
9102883625780
1032540504130
11128892a2422
1263818ba316
1330b7806694
141809a00438
15ca6ba5cc0
hex79390b042

32540504130 has 48 divisors (see below), whose sum is σ = 86572886400. Its totient is φ = 8475665184.

The previous prime is 32540504123. The next prime is 32540504177. The reversal of 32540504130 is 3140504523.

32540504130 is a `hidden beast` number, since 3 + 2 + 540 + 50 + 41 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32540504094 and 32540504103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4200330 + ... + 4208069.

It is an arithmetic number, because the mean of its divisors is an integer number (1803601800).

Almost surely, 232540504130 is an apocalyptic number.

32540504130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32540504130 is an abundant number, since it is smaller than the sum of its proper divisors (54032382270).

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

32540504130 is a wasteful number, since it uses less digits than its factorization.

32540504130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408455 (or 8408452 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 32540504130 in words is "thirty-two billion, five hundred forty million, five hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 8408399 16816798 25225197 42041995 50450394 75675591 84083990 126125985 151351182 252251970 361561157 378377955 723122314 756755910 1084683471 1807805785 2169366942 3254050413 3615611570 5423417355 6508100826 10846834710 16270252065 32540504130