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8537387040 = 2535571319127
BaseRepresentation
bin1111111001101111…
…00011000000100000
3211000222121012100000
413330313203000200
5114441032341130
63531053500000
7421364410140
oct77467430040
924028535300
108537387040
113691150276
1217a31a1600
13a60988610
145adbd2920
1534e79b260
hex1fcde3020

8537387040 has 1152 divisors, whose sum is σ = 39450378240. Its totient is φ = 1693052928.

The previous prime is 8537387039. The next prime is 8537387069. The reversal of 8537387040 is 407837358.

8537387040 is a `hidden beast` number, since 8 + 537 + 3 + 8 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223457 + ... + 67223583.

It is an arithmetic number, because the mean of its divisors is an integer number (34245120).

Almost surely, 28537387040 is an apocalyptic number.

8537387040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8537387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725189120).

8537387040 is an abundant number, since it is smaller than the sum of its proper divisors (30912991200).

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

8537387040 is a wasteful number, since it uses less digits than its factorization.

8537387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8537387040 is about 92397.9817961410. The cubic root of 8537387040 is about 2043.8153511634.

The spelling of 8537387040 in words is "eight billion, five hundred thirty-seven million, three hundred eighty-seven thousand, forty".