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2115330816 = 2838533229
BaseRepresentation
bin111111000010101…
…0110001100000000
312110102100221100210
41332011112030000
513313011041231
6545522514120
7103264005144
oct17605261400
95412327323
102115330816
1199605a395
124b0505940
13279327c51
14160d1b224
15c5a94a46
hex7e156300

2115330816 has 72 divisors (see below), whose sum is σ = 5638210480. Its totient is φ = 704065536.

The previous prime is 2115330793. The next prime is 2115330823. The reversal of 2115330816 is 6180335112.

It is a super-2 number, since 2×21153308162 = 8949248922238451712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653490 + ... + 656718.

Almost surely, 22115330816 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 2115330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819105240).

2115330816 is an abundant number, since it is smaller than the sum of its proper divisors (3522879664).

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

2115330816 is an equidigital number, since it uses as much as digits as its factorization.

2115330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2115330816 is about 45992.7256856995. The cubic root of 2115330816 is about 1283.6878541694.

Adding to 2115330816 its reverse (6180335112), we get a palindrome (8295665928).

The spelling of 2115330816 in words is "two billion, one hundred fifteen million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 853 1706 2559 3229 3412 5118 6458 6824 9687 10236 12916 13648 19374 20472 25832 27296 38748 40944 51664 54592 77496 81888 103328 109184 154992 163776 206656 218368 309984 327552 413312 619968 655104 826624 1239936 2479872 2754337 5508674 8263011 11017348 16526022 22034696 33052044 44069392 66104088 88138784 132208176 176277568 264416352 352555136 528832704 705110272 1057665408 2115330816