Search a number
-
+
21138330018336 = 253229961532479
BaseRepresentation
bin1001100111001101001101…
…01001101110001000100000
32202211210201120012221201020
410303212212221232020200
510232312244441041321
6112542451553005440
74311123344361006
oct463464651561040
982753646187636
1021138330018336
11680a796247133
1224548bbb53880
13ba444a17541b
1453115a1c2a76
15269cca8e94c6
hex1339a6a6e220

21138330018336 has 48 divisors (see below), whose sum is σ = 55730422540800. Its totient is φ = 7015340959488.

The previous prime is 21138330018293. The next prime is 21138330018341. The reversal of 21138330018336 is 63381003383112.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480744256 + ... + 480788223.

It is an arithmetic number, because the mean of its divisors is an integer number (1161050469600).

Almost surely, 221138330018336 is an apocalyptic number.

It is an amenable number.

21138330018336 is an abundant number, since it is smaller than the sum of its proper divisors (34592092522464).

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

21138330018336 is a wasteful number, since it uses less digits than its factorization.

21138330018336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961532721 (or 961532713 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 21138330018336 in words is "twenty-one trillion, one hundred thirty-eight billion, three hundred thirty million, eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 961532479 1923064958 2884597437 3846129916 5769194874 7692259832 11538389748 15384519664 23076779496 30769039328 46153558992 92307117984 220190937691 440381875382 660572813073 880763750764 1321145626146 1761527501528 2642291252292 3523055003056 5284582504584 7046110006112 10569165009168 21138330018336