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21194248416 = 25311107187573
BaseRepresentation
bin10011101111010001…
…101001000011100000
32000201001201101002120
4103233101221003200
5321401211422131
613423030144240
71350133065465
oct235721510340
960631641076
1021194248416
118a96667590
124135ab2080
131cc9c371c3
141050b5966c
15840a1c496
hex4ef4690e0

21194248416 has 96 divisors (see below), whose sum is σ = 61260167808. Its totient is φ = 6362442240.

The previous prime is 21194248409. The next prime is 21194248417. The reversal of 21194248416 is 61484249112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21194248417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19206 + ... + 206778.

It is an arithmetic number, because the mean of its divisors is an integer number (638126748).

Almost surely, 221194248416 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 21194248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30630083904).

21194248416 is an abundant number, since it is smaller than the sum of its proper divisors (40065919392).

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

21194248416 is a wasteful number, since it uses less digits than its factorization.

21194248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187704 (or 187696 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 21194248416 in words is "twenty-one billion, one hundred ninety-four million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 642 856 1056 1177 1284 1712 2354 2568 3424 3531 4708 5136 7062 9416 10272 14124 18832 28248 37664 56496 112992 187573 375146 562719 750292 1125438 1500584 2063303 2250876 3001168 4126606 4501752 6002336 6189909 8253212 9003504 12379818 16506424 18007008 20070311 24759636 33012848 40140622 49519272 60210933 66025696 80281244 99038544 120421866 160562488 198077088 220773421 240843732 321124976 441546842 481687464 642249952 662320263 883093684 963374928 1324640526 1766187368 1926749856 2649281052 3532374736 5298562104 7064749472 10597124208 21194248416