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5864591040 = 263571179337
BaseRepresentation
bin1010111011000111…
…01000111011000000
3120010201021002111120
411131203220323000
544002313403130
62405534312240
7265221126030
oct53543507300
916121232446
105864591040
11253a455060
121178058680
13726008319
143d8c418c0
15244cdb910
hex15d8e8ec0

5864591040 has 224 divisors, whose sum is σ = 23214933504. Its totient is φ = 1218600960.

The previous prime is 5864591039. The next prime is 5864591063. The reversal of 5864591040 is 401954685.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5864590983 and 5864591001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34252 + ... + 113588.

It is an arithmetic number, because the mean of its divisors is an integer number (103638096).

Almost surely, 25864591040 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 5864591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607466752).

5864591040 is an abundant number, since it is smaller than the sum of its proper divisors (17350342464).

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

5864591040 is a wasteful number, since it uses less digits than its factorization.

5864591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79375 (or 79365 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5864591040 is about 76580.6179134120. The cubic root of 5864591040 is about 1803.3467611255.

The spelling of 5864591040 in words is "five billion, eight hundred sixty-four million, five hundred ninety-one thousand, forty".