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5903874048 = 211323411019
BaseRepresentation
bin1010111111110010…
…11111100000000000
3120020110011212122210
411133321133200000
544042342432143
62413500302120
7266206046532
oct53771374000
916213155583
105903874048
11255a645a56
121189241940
137311b06c7
14400149852
1524849b033
hex15fe5f800

5903874048 has 192 divisors, whose sum is σ = 16841260800. Its totient is φ = 1834680320.

The previous prime is 5903874017. The next prime is 5903874061. The reversal of 5903874048 is 8404783095.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5903873988 and 5903874006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5793283 + ... + 5794301.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 25903874048 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 5903874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

5903874048 is an abundant number, since it is smaller than the sum of its proper divisors (10937386752).

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

5903874048 is a wasteful number, since it uses less digits than its factorization.

5903874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5903874048 is about 76836.6712449205. The cubic root of 5903874048 is about 1807.3642790682.

The spelling of 5903874048 in words is "five billion, nine hundred three million, eight hundred seventy-four thousand, forty-eight".