Search a number
-
+
21025474272 = 25321111358733
BaseRepresentation
bin10011100101001101…
…110100011011100000
32000021022010202111100
4103211031310123200
5321030010134042
613354200514400
71343013403545
oct234515643340
960238122440
1021025474272
118a0a372020
1240a947ba00
131ca0c93b4a
141036584bcc
15830cd024c
hex4e53746e0

21025474272 has 144 divisors (see below), whose sum is σ = 65805103728. Its totient is φ = 6314864640.

The previous prime is 21025474241. The next prime is 21025474273. The reversal of 21025474272 is 27247452012.

21025474272 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 547 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21025474273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328618 + ... + 387350.

It is an arithmetic number, because the mean of its divisors is an integer number (456979887).

Almost surely, 221025474272 is an apocalyptic number.

21025474272 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 21025474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32902551864).

21025474272 is an abundant number, since it is smaller than the sum of its proper divisors (44779629456).

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

21025474272 is a wasteful number, since it uses less digits than its factorization.

21025474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58873 (or 58862 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 21025474272 in words is "twenty-one billion, twenty-five million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 113 132 144 176 198 226 264 288 339 352 396 452 528 678 792 904 1017 1056 1243 1356 1584 1808 2034 2486 2712 3168 3616 3729 4068 4972 5424 7458 8136 9944 10848 11187 14916 16272 19888 22374 29832 32544 39776 44748 58733 59664 89496 117466 119328 176199 178992 234932 352398 357984 469864 528597 646063 704796 939728 1057194 1292126 1409592 1879456 1938189 2114388 2584252 2819184 3876378 4228776 5168504 5638368 5814567 6636829 7752756 8457552 10337008 11629134 13273658 15505512 16915104 19910487 20674016 23258268 26547316 31011024 39820974 46516536 53094632 59731461 62022048 73005119 79641948 93033072 106189264 119462922 146010238 159283896 186066144 212378528 219015357 238925844 292020476 318567792 438030714 477851688 584040952 637135584 657046071 876061428 955703376 1168081904 1314092142 1752122856 1911406752 2336163808 2628184284 3504245712 5256368568 7008491424 10512737136 21025474272