Search a number
-
+
5838723540 = 22335132137467
BaseRepresentation
bin1010111000000001…
…11101100111010100
3120001220120212222000
411130000331213110
543424203123130
62403212035300
7264455221416
oct53400754724
916056525860
105838723540
112526897461
12116b462b30
1372084c300
143d562a9b6
152428cc260
hex15c03d9d4

5838723540 has 288 divisors, whose sum is σ = 19855704960. Its totient is φ = 1423678464.

The previous prime is 5838723533. The next prime is 5838723571. The reversal of 5838723540 is 453278385.

5838723540 is a `hidden beast` number, since 5 + 8 + 3 + 87 + 23 + 540 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12502387 + ... + 12502853.

It is an arithmetic number, because the mean of its divisors is an integer number (68943420).

Almost surely, 25838723540 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 5838723540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927852480).

5838723540 is an abundant number, since it is smaller than the sum of its proper divisors (14016981420).

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

5838723540 is a wasteful number, since it uses less digits than its factorization.

5838723540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5838723540 is about 76411.5406205110. The cubic root of 5838723540 is about 1800.6914565703.

The spelling of 5838723540 in words is "five billion, eight hundred thirty-eight million, seven hundred twenty-three thousand, five hundred forty".