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4927387731984 = 2432113216372
BaseRepresentation
bin100011110110011111100…
…1100100000100000010000
3122110001110010022201111100
41013230333030200200100
51121212242224410414
614251335523344400
71015664155444554
oct107547714404020
918401403281440
104927387731984
11162a769a10903
12676b64222100
1329985c69c9c3
141306b5c57864
158828cb0a609
hex47b3f320810

4927387731984 has 135 divisors (see below), whose sum is σ = 13921460251543. Its totient is φ = 1626933052416.

The previous prime is 4927387731977. The next prime is 4927387732013. The reversal of 4927387731984 is 4891377837294.

The square root of 4927387731984 is 2219772.

It is a perfect power (a square), and thus also a powerful number.

4927387731984 is a `hidden beast` number, since 4 + 92 + 7 + 387 + 73 + 1 + 98 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4474189491984 + 453198240000 = 2115228^2 + 673200^2 .

It is a super-2 number, since 2×49273877319842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3010010014 + ... + 3010011650.

Almost surely, 24927387731984 is an apocalyptic number.

4927387731984 is the 2219772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4927387731984

4927387731984 is an abundant number, since it is smaller than the sum of its proper divisors (8994072519559).

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

4927387731984 is an equidigital number, since it uses as much as digits as its factorization.

4927387731984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 1755 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 4927387731984 in words is "four trillion, nine hundred twenty-seven billion, three hundred eighty-seven million, seven hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1637 1808 2034 2712 3274 4068 4911 5424 6548 8136 9822 12769 13096 14733 16272 19644 25538 26192 29466 38307 39288 51076 58932 76614 78576 102152 114921 117864 153228 184981 204304 229842 235728 306456 369962 459684 554943 612912 739924 919368 1109886 1479848 1664829 1838736 2219772 2679769 2959696 3329658 4439544 5359538 6659316 8039307 8879088 10719076 13318632 16078614 20902853 21438152 24117921 26637264 32157228 41805706 42876304 48235842 62708559 64314456 83611412 96471684 125417118 128628912 167222824 188125677 192943368 250834236 302813897 334445648 376251354 385886736 501668472 605627794 752502708 908441691 1003336944 1211255588 1505005416 1816883382 2422511176 2725325073 3010010832 3633766764 4845022352 5450650146 7267533528 10901300292 14535067056 21802600584 34217970361 43605201168 68435940722 102653911083 136871881444 205307822166 273743762888 307961733249 410615644332 547487525776 615923466498 821231288664 1231846932996 1642462577328 2463693865992 4927387731984