Search a number
-
+
2147376864 = 25325787037
BaseRepresentation
bin111111111111110…
…0101111011100000
312112122200001021110
41333333211323200
513344212024424
6553025423320
7104133254643
oct17777457340
95478601243
102147376864
11a02158026
124bb19ab40
13282b682c9
1416529da5a
15c87c4c29
hex7ffe5ee0

2147376864 has 48 divisors (see below), whose sum is σ = 5658862608. Its totient is φ = 712998912.

The previous prime is 2147376823. The next prime is 2147376883. The reversal of 2147376864 is 4686737412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21473768642 = 9222454792084948992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18847 + ... + 68190.

It is an arithmetic number, because the mean of its divisors is an integer number (117892971).

Almost surely, 22147376864 is an apocalyptic number.

2147376864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2147376864 is an abundant number, since it is smaller than the sum of its proper divisors (3511485744).

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

2147376864 is a wasteful number, since it uses less digits than its factorization.

2147376864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87307 (or 87299 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 2147376864 is about 46339.7978415962. The cubic root of 2147376864 is about 1290.1377702747.

The spelling of 2147376864 in words is "two billion, one hundred forty-seven million, three hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 87037 174074 261111 348148 522222 696296 1044444 1392592 2088888 2785184 4177776 8355552 22368509 44737018 67105527 89474036 134211054 178948072 268422108 357896144 536844216 715792288 1073688432 2147376864