Search a number
-
+
5157429312 = 2637191391453
BaseRepresentation
bin1001100110110100…
…00010000001000000
3111022102121112222110
410303122002001000
541030300214222
62211433335320
7241543266030
oct46332020100
914272545873
105157429312
112207263a82
12bbb267540
1364265c229
1436cd618c0
15202ba230c
hex133682040

5157429312 has 224 divisors, whose sum is σ = 16545356800. Its totient is φ = 1384998912.

The previous prime is 5157429307. The next prime is 5157429317. The reversal of 5157429312 is 2139247515.

It is an interprime number because it is at equal distance from previous prime (5157429307) and next prime (5157429317).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (5157429317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3548778 + ... + 3550230.

It is an arithmetic number, because the mean of its divisors is an integer number (73863200).

Almost surely, 25157429312 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 5157429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272678400).

5157429312 is an abundant number, since it is smaller than the sum of its proper divisors (11387927488).

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

5157429312 is a wasteful number, since it uses less digits than its factorization.

5157429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1623 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 5157429312 is about 71815.2442869897. The cubic root of 5157429312 is about 1727.7375072816.

The spelling of 5157429312 in words is "five billion, one hundred fifty-seven million, four hundred twenty-nine thousand, three hundred twelve".