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2532266496 = 29331931311
BaseRepresentation
bin1001011011101111…
…0101001000000000
320112110220110121000
42112323311020000
520141230011441
61055135132000
7116515624104
oct22673651000
96473813530
102532266496
11108a442331
125a8074000
13314818c56
141a044d904
15ec4a12b6
hex96ef5200

2532266496 has 320 divisors, whose sum is σ = 8170905600. Its totient is φ = 771379200.

The previous prime is 2532266491. The next prime is 2532266509. The reversal of 2532266496 is 6946622352.

2532266496 is a `hidden beast` number, since 2 + 532 + 26 + 6 + 4 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (2532266491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142181 + ... + 8142491.

It is an arithmetic number, because the mean of its divisors is an integer number (25534080).

Almost surely, 22532266496 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 2532266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085452800).

2532266496 is an abundant number, since it is smaller than the sum of its proper divisors (5638639104).

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

2532266496 is a wasteful number, since it uses less digits than its factorization.

2532266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2532266496 is about 50321.6304982261. The cubic root of 2532266496 is about 1363.0228494259.

The spelling of 2532266496 in words is "two billion, five hundred thirty-two million, two hundred sixty-six thousand, four hundred ninety-six".