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1823441664 = 28311215843
BaseRepresentation
bin110110010101111…
…1000001100000000
311201002010102201110
41230223320030000
512213300113124
6500534403320
763120666312
oct15453701400
94632112643
101823441664
11856315790
1242a800540
13230a09b85
141342597b2
15aa139029
hex6caf8300

1823441664 has 72 divisors (see below), whose sum is σ = 5294221632. Its totient is φ = 552555520.

The previous prime is 1823441639. The next prime is 1823441687. The reversal of 1823441664 is 4661443281.

It is a super-2 number, since 2×18234416642 = 6649879004022177792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 99474 + ... + 116369.

It is an arithmetic number, because the mean of its divisors is an integer number (73530856).

Almost surely, 21823441664 is an apocalyptic number.

It is an amenable number.

1823441664 is an abundant number, since it is smaller than the sum of its proper divisors (3470779968).

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

1823441664 is a wasteful number, since it uses less digits than its factorization.

1823441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215873 (or 215859 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 1823441664 is about 42701.7758881291. The cubic root of 1823441664 is about 1221.6982673234.

The spelling of 1823441664 in words is "one billion, eight hundred twenty-three million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 215843 431686 647529 863372 1295058 1726744 2374273 2590116 3453488 4748546 5180232 6906976 7122819 9497092 10360464 13813952 14245638 18994184 20720928 27627904 28491276 37988368 41441856 55255808 56982552 75976736 82883712 113965104 151953472 165767424 227930208 303906944 455860416 607813888 911720832 1823441664