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4361944094992 = 2411231127572281
BaseRepresentation
bin111111011110011000001…
…000001101100100010000
3120102222221101100210101201
4333132120020031210100
51032431230142014432
613135503252040544
7630066020024551
oct77363010154420
916388841323351
104361944094992
1114319877a9300
125a545a303154
13258439086793
141111951da328
15786e68d9ee7
hex3f79820d910

4361944094992 has 120 divisors (see below), whose sum is σ = 9664588537856. Its totient is φ = 1903632192000.

The previous prime is 4361944094983. The next prime is 4361944095017. The reversal of 4361944094992 is 2994904491634.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7335892 + ... + 7908172.

Almost surely, 24361944094992 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 4361944094992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832294268928).

4361944094992 is an abundant number, since it is smaller than the sum of its proper divisors (5302644442864).

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

4361944094992 is a wasteful number, since it uses less digits than its factorization.

4361944094992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572469 (or 572452 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 4361944094992 in words is "four trillion, three hundred sixty-one billion, nine hundred forty-four million, ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 127 176 242 248 254 341 484 496 508 682 968 1016 1364 1397 1936 2032 2728 2794 3751 3937 5456 5588 7502 7874 11176 15004 15367 15748 22352 30008 30734 31496 43307 60016 61468 62992 86614 122936 173228 245872 346456 476377 572281 692912 952754 1144562 1905508 2289124 3811016 4578248 6295091 7622032 9156496 12590182 17740711 25180364 35481422 50360728 69246001 70962844 72679687 100721456 138492002 141925688 145359374 195147821 276984004 283851376 290718748 390295642 553968008 581437496 780591284 799476557 1107936016 1162874992 1561182568 1598953114 2146626031 2253070297 3122365136 3197906228 4293252062 4506140594 6395812456 8586504124 8794242127 9012281188 12791624912 17173008248 17588484254 18024562376 24783773267 34346016496 35176968508 36049124752 49567546534 70353937016 99135093068 140707874032 198270186136 272621505937 396540372272 545243011874 1090486023748 2180972047496 4361944094992