Search a number
-
+
21205472992 = 2511532115387
BaseRepresentation
bin10011101111111100…
…011101011011100000
32000201211211122022121
4103233330131123200
5321412100113432
613424110514024
71350330355264
oct235774353340
960654748277
1021205472992
118aa1a337a0
124139805914
131ccc367272
14105243c0a4
158419d8197
hex4eff1d6e0

21205472992 has 96 divisors (see below), whose sum is σ = 46631458944. Its totient is φ = 9410419200.

The previous prime is 21205472987. The next prime is 21205472993. The reversal of 21205472992 is 29927450212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21205472993) 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, 3933723 + ... + 3939109.

It is an arithmetic number, because the mean of its divisors is an integer number (485744364).

Almost surely, 221205472992 is an apocalyptic number.

21205472992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21205472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315729472).

21205472992 is an abundant number, since it is smaller than the sum of its proper divisors (25425985952).

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

21205472992 is a wasteful number, since it uses less digits than its factorization.

21205472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 21205472992 in words is "twenty-one billion, two hundred five million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 211 212 352 422 424 583 844 848 1166 1688 1696 2321 2332 3376 4642 4664 5387 6752 9284 9328 10774 11183 18568 18656 21548 22366 37136 43096 44732 59257 74272 86192 89464 118514 123013 172384 178928 237028 246026 285511 357856 474056 492052 571022 948112 984104 1136657 1142044 1896224 1968208 2273314 2284088 3140621 3936416 4546628 4568176 6281242 9093256 9136352 12503227 12562484 18186512 25006454 25124968 36373024 50012908 50249936 60242821 100025816 100499872 120485642 200051632 240971284 400103264 481942568 662671031 963885136 1325342062 1927770272 2650684124 5301368248 10602736496 21205472992