Search a number
-
+
5023157832 = 233271119431109
BaseRepresentation
bin1001010110110011…
…10100111001001000
3110222001221212010200
410223121310321020
540241412022312
62150235412200
7235323065010
oct45331647110
913861855120
105023157832
112148494910
12b822b4060
136208a9454
143591acc40
151e5ecd0dc
hex12b674e48

5023157832 has 384 divisors, whose sum is σ = 18285696000. Its totient is φ = 1206213120.

The previous prime is 5023157809. The next prime is 5023157837. The reversal of 5023157832 is 2387513205.

It is a happy number.

5023157832 is a `hidden beast` number, since 50 + 2 + 3 + 1 + 578 + 32 = 666.

It is a super-2 number, since 2×50231578322 = 50464229210365880448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5023157837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4528894 + ... + 4530002.

It is an arithmetic number, because the mean of its divisors is an integer number (47619000).

Almost surely, 25023157832 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 5023157832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142848000).

5023157832 is an abundant number, since it is smaller than the sum of its proper divisors (13262538168).

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

5023157832 is a wasteful number, since it uses less digits than its factorization.

5023157832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5023157832 is about 70874.2395514760. The cubic root of 5023157832 is about 1712.6118371347.

The spelling of 5023157832 in words is "five billion, twenty-three million, one hundred fifty-seven thousand, eight hundred thirty-two".