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4859144640 = 26355779113
BaseRepresentation
bin1001000011010000…
…01010100111000000
3110112122100010100000
410201220022213000
534422420112030
62122100200000
7231262022310
oct44150124700
913478303300
104859144640
112073951319
12b37399000
135c591211c
143414b7440
151d68d1860
hex121a0a9c0

4859144640 has 672 divisors, whose sum is σ = 20236769280. Its totient is φ = 1086898176.

The previous prime is 4859144639. The next prime is 4859144671. The reversal of 4859144640 is 464419584.

4859144640 is a `hidden beast` number, since 4 + 85 + 91 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×48591446402 = 47222573264881459200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43001224 + ... + 43001336.

It is an arithmetic number, because the mean of its divisors is an integer number (30114240).

Almost surely, 24859144640 is an apocalyptic number.

4859144640 is a gapful number since it is divisible by the number (40) 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 4859144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118384640).

4859144640 is an abundant number, since it is smaller than the sum of its proper divisors (15377624640).

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

4859144640 is a wasteful number, since it uses less digits than its factorization.

4859144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4859144640 is about 69707.5651561579. The cubic root of 4859144640 is about 1693.7654727507.

The spelling of 4859144640 in words is "four billion, eight hundred fifty-nine million, one hundred forty-four thousand, six hundred forty".