Search a number
-
+
5790137688 = 233326806193
BaseRepresentation
bin1010110010001111…
…00111110101011000
3112221112011110201000
411121013213311120
543324233401223
62354314425000
7263325233616
oct53107476530
915845143630
105790137688
112501422165
121157132160
1371376a79a
143ccdc06b6
1523d4d1543
hex1591e7d58

5790137688 has 32 divisors (see below), whose sum is σ = 16083716400. Its totient is φ = 1930045824.

The previous prime is 5790137681. The next prime is 5790137701. The reversal of 5790137688 is 8867310975.

5790137688 is a `hidden beast` number, since 579 + 0 + 1 + 3 + 7 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790137681) 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, 13402881 + ... + 13403312.

Almost surely, 25790137688 is an apocalyptic number.

It is an amenable number.

5790137688 is an abundant number, since it is smaller than the sum of its proper divisors (10293578712).

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

5790137688 is a wasteful number, since it uses less digits than its factorization.

5790137688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26806208 (or 26806198 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 5790137688 is about 76092.9542599050. The cubic root of 5790137688 is about 1795.6828316433.

The spelling of 5790137688 in words is "five billion, seven hundred ninety million, one hundred thirty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 26806193 53612386 80418579 107224772 160837158 214449544 241255737 321674316 482511474 643348632 723767211 965022948 1447534422 1930045896 2895068844 5790137688