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21328417248 = 2531014634751
BaseRepresentation
bin10011110111010001…
…011101000111100000
32001001102011212010120
4103313101131013200
5322140033322443
613444222000240
71353352361325
oct236721350740
961042155116
1021328417248
119055376616
124172a16080
13201b982348
1410648c2b4c
1584c6c1083
hex4f745d1e0

21328417248 has 96 divisors (see below), whose sum is σ = 56675469312. Its totient is φ = 7022400000.

The previous prime is 21328417241. The next prime is 21328417261. The reversal of 21328417248 is 84271482312.

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 (21328417241) 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, 4486873 + ... + 4491623.

It is an arithmetic number, because the mean of its divisors is an integer number (590369472).

Almost surely, 221328417248 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 21328417248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28337734656).

21328417248 is an abundant number, since it is smaller than the sum of its proper divisors (35347052064).

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

21328417248 is a wasteful number, since it uses less digits than its factorization.

21328417248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5320 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The spelling of 21328417248 in words is "twenty-one billion, three hundred twenty-eight million, four hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 463 606 808 926 1212 1389 1616 1852 2424 2778 3232 3704 4751 4848 5556 7408 9502 9696 11112 14253 14816 19004 22224 28506 38008 44448 46763 57012 76016 93526 114024 140289 152032 187052 228048 280578 374104 456096 479851 561156 748208 959702 1122312 1439553 1496416 1919404 2199713 2244624 2879106 3838808 4399426 4489248 5758212 6599139 7677616 8798852 11516424 13198278 15355232 17597704 23032848 26396556 35195408 46065696 52793112 70390816 105586224 211172448 222171013 444342026 666513039 888684052 1333026078 1777368104 2666052156 3554736208 5332104312 7109472416 10664208624 21328417248