Search a number
-
+
5274187776 = 2113311132329
BaseRepresentation
bin1001110100101110…
…11011100000000000
3111121120022111111000
410322113123200000
541300143002101
62231204052000
7244461566514
oct47227334000
914546274430
105274187776
112267161380
121032394000
136608bc890
14380676144
1520d067486
hex13a5db800

5274187776 has 768 divisors, whose sum is σ = 19813248000. Its totient is φ = 1362493440.

The previous prime is 5274187769. The next prime is 5274187801. The reversal of 5274187776 is 6777814725.

5274187776 is a `hidden beast` number, since 527 + 41 + 8 + 7 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181868530 + ... + 181868558.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 25274187776 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 5274187776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

5274187776 is an abundant number, since it is smaller than the sum of its proper divisors (14539060224).

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

5274187776 is a wasteful number, since it uses less digits than its factorization.

5274187776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 5274187776 is about 72623.6034357976. The cubic root of 5274187776 is about 1740.6783561914.

The spelling of 5274187776 in words is "five billion, two hundred seventy-four million, one hundred eighty-seven thousand, seven hundred seventy-six".