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5041384920 = 233751113231
BaseRepresentation
bin1001011000111110…
…10110110111011000
3111000100020220000000
410230133112313120
540311043304140
62152130213000
7235634031135
oct45437266730
914010226000
105041384920
112157804120
12b88424160
136245bb900
1435b79558c
151e78cda30
hex12c7d6dd8

5041384920 has 768 divisors, whose sum is σ = 20744294400. Its totient is φ = 1091750400.

The previous prime is 5041384883. The next prime is 5041384981. The reversal of 5041384920 is 294831405.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162625305 + ... + 162625335.

It is an arithmetic number, because the mean of its divisors is an integer number (27010800).

Almost surely, 25041384920 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 5041384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372147200).

5041384920 is an abundant number, since it is smaller than the sum of its proper divisors (15702909480).

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

5041384920 is a wasteful number, since it uses less digits than its factorization.

5041384920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5041384920 is about 71002.7106524814. The cubic root of 5041384920 is about 1714.6808042941.

The spelling of 5041384920 in words is "five billion, forty-one million, three hundred eighty-four thousand, nine hundred twenty".