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5786093952 = 273331531019
BaseRepresentation
bin1010110001110000…
…01100100110000000
3112221020120000202000
411120320030212000
543322220001302
62354052024000
7263245662402
oct53070144600
915836500660
105786093952
1124aa110031
121155902000
13712983042
143cc64ab72
1523ce8331c
hex158e0c980

5786093952 has 256 divisors, whose sum is σ = 17978112000. Its totient is φ = 1829468160.

The previous prime is 5786093947. The next prime is 5786093977. The reversal of 5786093952 is 2593906875.

5786093952 is a `hidden beast` number, since 578 + 60 + 9 + 3 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 5677699 + ... + 5678717.

It is an arithmetic number, because the mean of its divisors is an integer number (70227000).

Almost surely, 25786093952 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 5786093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989056000).

5786093952 is an abundant number, since it is smaller than the sum of its proper divisors (12192018048).

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

5786093952 is a wasteful number, since it uses less digits than its factorization.

5786093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 5786093952 is about 76066.3785913330. The cubic root of 5786093952 is about 1795.2647092692.

The spelling of 5786093952 in words is "five billion, seven hundred eighty-six million, ninety-three thousand, nine hundred fifty-two".