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2532315456 = 2632112317377
BaseRepresentation
bin1001011011110000…
…0001000101000000
320112110222221202100
42112330001011000
520141233043311
61055140150400
7116516216616
oct22674010500
96473887670
102532315456
11108a4760a0
125a8098400
13314835318
141a04636b6
15ec4b0a56
hex96f01140

2532315456 has 168 divisors, whose sum is σ = 8263030464. Its totient is φ = 733962240.

The previous prime is 2532315449. The next prime is 2532315473. The reversal of 2532315456 is 6545132352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2532315456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137040 + ... + 154416.

Almost surely, 22532315456 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 2532315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131515232).

2532315456 is an abundant number, since it is smaller than the sum of its proper divisors (5730715008).

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

2532315456 is a wasteful number, since it uses less digits than its factorization.

2532315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17429 (or 17416 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2532315456 is about 50322.1169665983. The cubic root of 2532315456 is about 1363.0316338052.

The spelling of 2532315456 in words is "two billion, five hundred thirty-two million, three hundred fifteen thousand, four hundred fifty-six".