Search a number
-
+
4971053736 = 2332116276583
BaseRepresentation
bin1001010000100110…
…00100001010101000
3110211102220200202100
410220103010022220
540140042204421
62141134533400
7234121155015
oct45023041250
913742820670
104971053736
112121037280
12b68967260
13612b6541c
143522c870c
151e1639c26
hex1284c42a8

4971053736 has 48 divisors (see below), whose sum is σ = 14687206560. Its totient is φ = 1506379680.

The previous prime is 4971053713. The next prime is 4971053741. The reversal of 4971053736 is 6373501794.

4971053736 is a `hidden beast` number, since 49 + 71 + 0 + 537 + 3 + 6 = 666.

It is a super-2 number, since 2×49710537362 = 49422750492399115392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4971053691 and 4971053700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3137500 + ... + 3139083.

It is an arithmetic number, because the mean of its divisors is an integer number (305983470).

Almost surely, 24971053736 is an apocalyptic number.

It is an amenable number.

4971053736 is an abundant number, since it is smaller than the sum of its proper divisors (9716152824).

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

4971053736 is a wasteful number, since it uses less digits than its factorization.

4971053736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276606 (or 6276599 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 4971053736 is about 70505.7000248916. The cubic root of 4971053736 is about 1706.6697305921.

The spelling of 4971053736 in words is "four billion, nine hundred seventy-one million, fifty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6276583 12553166 18829749 25106332 37659498 50212664 56489247 69042413 75318996 112978494 138084826 150637992 207127239 225956988 276169652 414254478 451913976 552339304 621381717 828508956 1242763434 1657017912 2485526868 4971053736