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5068465920 = 28335724173
BaseRepresentation
bin1001011100001101…
…01010011100000000
3111002020012202011000
410232012222130000
540340011402140
62154534452000
7236413151400
oct45606523400
914066182130
105068465920
112171020511
12b95504000
1362a0b107b
14361204800
151e9e7ca30
hex12e1aa700

5068465920 has 864 divisors, whose sum is σ = 21726411840. Its totient is φ = 1114767360.

The previous prime is 5068465907. The next prime is 5068465933. The reversal of 5068465920 is 295648605.

5068465920 is a `hidden beast` number, since 50 + 6 + 8 + 4 + 6 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5068465907) and next prime (5068465933).

It is a tau number, because it is divible by the number of its divisors (864).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69431004 + ... + 69431076.

It is an arithmetic number, because the mean of its divisors is an integer number (25146310).

Almost surely, 25068465920 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 5068465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863205920).

5068465920 is an abundant number, since it is smaller than the sum of its proper divisors (16657945920).

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

5068465920 is a wasteful number, since it uses less digits than its factorization.

5068465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5068465920 is about 71193.1592219365. The cubic root of 5068465920 is about 1717.7455952067.

The spelling of 5068465920 in words is "five billion, sixty-eight million, four hundred sixty-five thousand, nine hundred twenty".