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21124868328 = 233223103112373
BaseRepresentation
bin10011101011001000…
…111110100011101000
32000112020011111111200
4103223020332203220
5321230431241303
613412111124200
71345331263254
oct235310764350
960466144450
1021124868328
118a6048a273
124116813660
131cb87548b5
141045859264
158398b53a3
hex4eb23e8e8

21124868328 has 96 divisors (see below), whose sum is σ = 59763450240. Its totient is φ = 6728388480.

The previous prime is 21124868299. The next prime is 21124868333. The reversal of 21124868328 is 82386842112.

21124868328 is a `hidden beast` number, since 21 + 1 + 248 + 68 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701150 + ... + 1713522.

It is an arithmetic number, because the mean of its divisors is an integer number (622535940).

Almost surely, 221124868328 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 21124868328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29881725120).

21124868328 is an abundant number, since it is smaller than the sum of its proper divisors (38638581912).

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

21124868328 is a wasteful number, since it uses less digits than its factorization.

21124868328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13432 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 21124868328 in words is "twenty-one billion, one hundred twenty-four million, eight hundred sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1031 1656 2062 3093 4124 6186 8248 9279 12372 12373 18558 23713 24744 24746 37116 37119 47426 49492 71139 74232 74238 94852 98984 111357 142278 148476 189704 213417 222714 284556 284579 296952 426834 445428 569112 569158 853668 853737 890856 1138316 1707336 1707474 2276632 2561211 3414948 5122422 6829896 10244844 12756563 20489688 25513126 38269689 51026252 76539378 102052504 114809067 153078756 229618134 293400949 306157512 459236268 586801898 880202847 918472536 1173603796 1760405694 2347207592 2640608541 3520811388 5281217082 7041622776 10562434164 21124868328