Search a number
-
+
21212075404704 = 253718730744277
BaseRepresentation
bin1001101001010110100100…
…01110000010110110100000
32210002212002000011201210110
410310223102032002312200
510240014312300422304
6113040405400331320
74316344000665312
oct464532216026640
983085060151713
1021212075404704
116838a99628438
122467061173b40
13bab3a0544b12
145349543d17b2
1526bb94c39289
hex134ad2382da0

21212075404704 has 48 divisors (see below), whose sum is σ = 55689447306528. Its totient is φ = 7069707754752.

The previous prime is 21212075404693. The next prime is 21212075404717. The reversal of 21212075404704 is 40740457021212.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14682187 + ... + 16062090.

It is an arithmetic number, because the mean of its divisors is an integer number (1160196818886).

Almost surely, 221212075404704 is an apocalyptic number.

21212075404704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21212075404704 is an abundant number, since it is smaller than the sum of its proper divisors (34477371901824).

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

21212075404704 is a wasteful number, since it uses less digits than its factorization.

21212075404704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30751477 (or 30751469 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 21212075404704 in words is "twenty-one trillion, two hundred twelve billion, seventy-five million, four hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 7187 14374 21561 28748 43122 57496 86244 114992 172488 229984 344976 689952 30744277 61488554 92232831 122977108 184465662 245954216 368931324 491908432 737862648 983816864 1475725296 2951450592 220959118799 441918237598 662877356397 883836475196 1325754712794 1767672950392 2651509425588 3535345900784 5303018851176 7070691801568 10606037702352 21212075404704