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21384248312 = 2374160115497
BaseRepresentation
bin10011111010100110…
…011011101111111000
32001012022020100221202
4103322212123233320
5322243331421222
613453534353332
71354631053160
oct237246335770
961168210852
1021384248312
11908393a299
12418965b848
13202a3cc88b
14106c0975a0
1585254d892
hex4fa99bbf8

21384248312 has 64 divisors (see below), whose sum is σ = 47022171840. Its totient is φ = 8925696000.

The previous prime is 21384248287. The next prime is 21384248323.

It is a happy number.

21384248312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1372148 + ... + 1387644.

It is an arithmetic number, because the mean of its divisors is an integer number (734721435).

Almost surely, 221384248312 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 21384248312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23511085920).

21384248312 is an abundant number, since it is smaller than the sum of its proper divisors (25637923528).

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

21384248312 is a wasteful number, since it uses less digits than its factorization.

21384248312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16152 (or 16148 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The spelling of 21384248312 in words is "twenty-one billion, three hundred eighty-four million, two hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 601 1148 1202 2296 2404 4207 4808 8414 15497 16828 24641 30994 33656 49282 61988 98564 108479 123976 172487 197128 216958 344974 433916 635377 689948 867832 1270754 1379896 2541508 4447639 5083016 8895278 9313697 17790556 18627394 35581112 37254788 65195879 74509576 130391758 260783516 381861577 521567032 763723154 1527446308 2673031039 3054892616 5346062078 10692124156 21384248312