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1868341248 = 213338447
BaseRepresentation
bin110111101011100…
…1010000000000000
311211012121120101000
41233113022000000
512311243404443
6505221012000
764204432014
oct15727120000
94735546330
101868341248
118796a2484
12441854000
1323a0ca887
1413a1c6544
15ae0578d3
hex6f5ca000

1868341248 has 112 divisors (see below), whose sum is σ = 5536143360. Its totient is φ = 622706688.

The previous prime is 1868341243. The next prime is 1868341273. The reversal of 1868341248 is 8421438681.

1868341248 is a `hidden beast` number, since 1 + 8 + 68 + 341 + 248 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1868341243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216961 + ... + 225407.

Almost surely, 21868341248 is an apocalyptic number.

1868341248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768071680).

1868341248 is an abundant number, since it is smaller than the sum of its proper divisors (3667802112).

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

1868341248 is an frugal number, since it uses more digits than its factorization.

1868341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8452 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1868341248 is about 43224.3131582215. The cubic root of 1868341248 is about 1231.6445817957.

The spelling of 1868341248 in words is "one billion, eight hundred sixty-eight million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 8447 9216 12288 13824 16894 18432 24576 25341 27648 33788 36864 50682 55296 67576 73728 76023 101364 110592 135152 152046 202728 221184 228069 270304 304092 405456 456138 540608 608184 810912 912276 1081216 1216368 1621824 1824552 2162432 2432736 3243648 3649104 4324864 4865472 6487296 7298208 8649728 9730944 12974592 14596416 17299456 19461888 25949184 29192832 34598912 38923776 51898368 58385664 69197824 77847552 103796736 116771328 155695104 207593472 233542656 311390208 467085312 622780416 934170624 1868341248