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21383248416 = 2536117321107
BaseRepresentation
bin10011111010100010…
…100111101000100000
32001012020100120100120
4103322202213220200
5322243102422131
613453501120240
71354616420055
oct237242475040
961166316316
1021383248416
119083317032
124189259080
13202a13c71a
14106bcb702c
15852402496
hex4fa8a7a20

21383248416 has 96 divisors (see below), whose sum is σ = 57383702208. Its totient is φ = 6970045440.

The previous prime is 21383248379. The next prime is 21383248457. The reversal of 21383248416 is 61484238312.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1002535 + ... + 1023641.

It is an arithmetic number, because the mean of its divisors is an integer number (597746898).

Almost surely, 221383248416 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 21383248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28691851104).

21383248416 is an abundant number, since it is smaller than the sum of its proper divisors (36000453792).

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

21383248416 is a wasteful number, since it uses less digits than its factorization.

21383248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21354 (or 21346 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The spelling of 21383248416 in words is "twenty-one billion, three hundred eighty-three million, two hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 173 183 244 346 366 488 519 692 732 976 1038 1384 1464 1952 2076 2768 2928 4152 5536 5856 8304 10553 16608 21106 21107 31659 42212 42214 63318 63321 84424 84428 126636 126642 168848 168856 253272 253284 337696 337712 506544 506568 675424 1013088 1013136 1287527 2026272 2575054 3651511 3862581 5150108 7303022 7725162 10300216 10954533 14606044 15450324 20600432 21909066 29212088 30900648 41200864 43818132 58424176 61801296 87636264 116848352 123602592 175272528 222742171 350545056 445484342 668226513 890968684 1336453026 1781937368 2672906052 3563874736 5345812104 7127749472 10691624208 21383248416