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2116471752 = 233229395441
BaseRepresentation
bin111111000100110…
…1100101111001000
312110111111220102200
41332021230233020
513313304044002
6550003200200
7103306466403
oct17611545710
95414456380
102116471752
1199676960a
124b0976060
13279637365
14161136d3a
15c5c1cb1c
hex7e26cbc8

2116471752 has 24 divisors (see below), whose sum is σ = 5732111190. Its totient is φ = 705490560.

The previous prime is 2116471741. The next prime is 2116471757. The reversal of 2116471752 is 2571746112.

2116471752 is a `hidden beast` number, since 2 + 1 + 1 + 647 + 1 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1929493476 + 186978276 = 43926^2 + 13674^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2116471757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14697649 + ... + 14697792.

Almost surely, 22116471752 is an apocalyptic number.

It is an amenable number.

2116471752 is an abundant number, since it is smaller than the sum of its proper divisors (3615639438).

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

2116471752 is a wasteful number, since it uses less digits than its factorization.

2116471752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29395453 (or 29395446 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 2116471752 is about 46005.1274533611. The cubic root of 2116471752 is about 1283.9186049082.

The spelling of 2116471752 in words is "two billion, one hundred sixteen million, four hundred seventy-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29395441 58790882 88186323 117581764 176372646 235163528 264558969 352745292 529117938 705490584 1058235876 2116471752