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5852126016 = 2633113753157
BaseRepresentation
bin1010111001101000…
…00101101101000000
3120002211210210201000
411130310011231000
543441121013031
62404411212000
7265010151612
oct53464055500
916084723630
105852126016
112533410990
121173a47000
13723562779
143d7318db2
15243b783e6
hex15cd05b40

5852126016 has 448 divisors, whose sum is σ = 19764207360. Its totient is φ = 1682104320.

The previous prime is 5852126011. The next prime is 5852126017. The reversal of 5852126016 is 6106212585.

5852126016 is a `hidden beast` number, since 585 + 2 + 1 + 2 + 60 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5852126011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37274610 + ... + 37274766.

Almost surely, 25852126016 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 5852126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9882103680).

5852126016 is an abundant number, since it is smaller than the sum of its proper divisors (13912081344).

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

5852126016 is a wasteful number, since it uses less digits than its factorization.

5852126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5852126016 is about 76499.1896427668. The cubic root of 5852126016 is about 1802.0682005047.

The spelling of 5852126016 in words is "five billion, eight hundred fifty-two million, one hundred twenty-six thousand, sixteen".