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5306127804 = 223314922213
BaseRepresentation
bin1001111000100010…
…10001010110111100
3111200210102012222000
410330101101112330
541331332042204
62234304422300
7245330225235
oct47421212674
914623365860
105306127804
11228319739a
121041017990
136673c38c3
143849cc08c
15210c76039
hex13c4515bc

5306127804 has 72 divisors (see below), whose sum is σ = 13855831920. Its totient is φ = 1756044864.

The previous prime is 5306127797. The next prime is 5306127817. The reversal of 5306127804 is 4087216035.

5306127804 is a `hidden beast` number, since 5 + 30 + 612 + 7 + 8 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396602 + ... + 2398814.

It is an arithmetic number, because the mean of its divisors is an integer number (192442110).

Almost surely, 25306127804 is an apocalyptic number.

5306127804 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5306127804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927915960).

5306127804 is an abundant number, since it is smaller than the sum of its proper divisors (8549704116).

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

5306127804 is a wasteful number, since it uses less digits than its factorization.

5306127804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5306127804 is about 72843.1726656658. The cubic root of 5306127804 is about 1744.1850863907.

The spelling of 5306127804 in words is "five billion, three hundred six million, one hundred twenty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2213 2682 4023 4426 5364 6639 8046 8852 13278 16092 19917 22201 26556 39834 44402 59751 66603 79668 88804 119502 133206 199809 239004 266412 329737 399618 599427 659474 799236 989211 1198854 1318948 1978422 2397708 2967633 3956844 5935266 8902899 11870532 17805798 35611596 49130813 98261626 147392439 196523252 294784878 442177317 589569756 884354634 1326531951 1768709268 2653063902 5306127804