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21530842252272 = 243548711371187
BaseRepresentation
bin1001110010101000010100…
…01101000100001111110000
32211020022212102020101200000
410321110022031010033300
510310230131104033042
6113443044332230000
74351360225331163
oct471241215041760
984208772211600
1021530842252272
1169511a7164011
1224b89a360b300
13c0247141a052
14546153b39ada
152750eec7a74c
hex13950a3443f0

21530842252272 has 120 divisors (see below), whose sum is σ = 62616492871296. Its totient is φ = 7162209729216.

The previous prime is 21530842252261. The next prime is 21530842252273. The reversal of 21530842252272 is 27225224803512.

21530842252272 is a `hidden beast` number, since 2 + 1 + 5 + 30 + 8 + 4 + 22 + 522 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21530842252273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3792138 + ... + 7579049.

Almost surely, 221530842252272 is an apocalyptic number.

It is an amenable number.

21530842252272 is an abundant number, since it is smaller than the sum of its proper divisors (41085650619024).

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

21530842252272 is a wasteful number, since it uses less digits than its factorization.

21530842252272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371697 (or 11371679 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 21530842252272 in words is "twenty-one trillion, five hundred thirty billion, eight hundred forty-two million, two hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 487 648 972 974 1296 1461 1944 1948 2922 3888 3896 4383 5844 7792 8766 11688 13149 17532 23376 26298 35064 39447 52596 70128 78894 105192 118341 157788 210384 236682 315576 473364 631152 946728 1893456 11371187 22742374 34113561 45484748 68227122 90969496 102340683 136454244 181938992 204681366 272908488 307022049 409362732 545816976 614044098 818725464 921066147 1228088196 1637450928 1842132294 2456176392 2763198441 3684264588 4912352784 5526396882 5537768069 7368529176 11052793764 11075536138 14737058352 16613304207 22105587528 22151072276 33226608414 44211175056 44302144552 49839912621 66453216828 88604289104 99679825242 132906433656 149519737863 199359650484 265812867312 299039475726 398719300968 448559213589 598078951452 797438601936 897118427178 1196157902904 1345677640767 1794236854356 2392315805808 2691355281534 3588473708712 5382710563068 7176947417424 10765421126136 21530842252272