Search a number
-
+
5701338752 = 27293075003
BaseRepresentation
bin1010100111101001…
…11000011010000000
3112201100002000110112
411103310320122000
543134020320002
62341423250452
7261166402604
oct52364703200
915640060415
105701338752
11246629120a
121131449a28
136cb249435
143c12a7504
152357e0852
hex153d38680

5701338752 has 64 divisors (see below), whose sum is σ = 11790424800. Its totient is φ = 2742856704.

The previous prime is 5701338697. The next prime is 5701338757. The reversal of 5701338752 is 2578331075.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5701338757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137083 + ... + 1142085.

Almost surely, 25701338752 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 5701338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895212400).

5701338752 is an abundant number, since it is smaller than the sum of its proper divisors (6089086048).

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

5701338752 is a wasteful number, since it uses less digits than its factorization.

5701338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 5701338752 is about 75507.2099338864. The cubic root of 5701338752 is about 1786.4558267081.

The spelling of 5701338752 in words is "five billion, seven hundred one million, three hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 307 464 614 928 1228 1856 2456 3712 4912 5003 8903 9824 10006 17806 19648 20012 35612 39296 40024 71224 80048 142448 145087 160096 284896 290174 320192 569792 580348 640384 1139584 1160696 1535921 2321392 3071842 4642784 6143684 9285568 12287368 18571136 24574736 44541709 49149472 89083418 98298944 178166836 196597888 356333672 712667344 1425334688 2850669376 5701338752