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1660944384 = 2243211
BaseRepresentation
bin110001100000000…
…0000000000000000
311021202100201100200
41203000000000000
511400200210014
6432451445200
756105536311
oct14300000000
94252321320
101660944384
11782618110
123a42b6800
13206153838
1411a83a608
159ac3ba09
hex63000000

1660944384 has 150 divisors (see below), whose sum is σ = 5234491236. Its totient is φ = 503316480.

The previous prime is 1660944367. The next prime is 1660944391. The reversal of 1660944384 is 4834490661.

1660944384 is a `hidden beast` number, since 1 + 6 + 609 + 4 + 4 + 38 + 4 = 666.

It is a super-2 number, since 2×16609443842 = 5517472493482278912, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150994939 + ... + 150994949.

Almost surely, 21660944384 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 1660944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617245618).

1660944384 is an abundant number, since it is smaller than the sum of its proper divisors (3573546852).

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

1660944384 is an frugal number, since it uses more digits than its factorization.

1660944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1660944384 is about 40754.6854238872. The cubic root of 1660944384 is about 1184.2726423508.

The spelling of 1660944384 in words is "one billion, six hundred sixty million, nine hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8192 8448 9216 11264 12288 12672 16384 16896 18432 22528 24576 25344 32768 33792 36864 45056 49152 50688 65536 67584 73728 90112 98304 101376 131072 135168 147456 180224 196608 202752 262144 270336 294912 360448 393216 405504 524288 540672 589824 720896 786432 811008 1048576 1081344 1179648 1441792 1572864 1622016 2097152 2162688 2359296 2883584 3145728 3244032 4194304 4325376 4718592 5767168 6291456 6488064 8388608 8650752 9437184 11534336 12582912 12976128 16777216 17301504 18874368 23068672 25165824 25952256 34603008 37748736 46137344 50331648 51904512 69206016 75497472 92274688 103809024 138412032 150994944 184549376 207618048 276824064 415236096 553648128 830472192 1660944384