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21604006217628 = 22324671285034869
BaseRepresentation
bin1001110100110000100110…
…00111011100011110011100
32211111022201100010221001200
410322120103013130132130
510312430001042431003
6113540424330035500
74356560261636502
oct472302307343634
984438640127050
1021604006217628
11697a23132708a
12250b001b78b90
13c093311c7543
145498d4a3a672
15276e8301c6a3
hex13a6131dc79c

21604006217628 has 36 divisors (see below), whose sum is σ = 54727065043560. Its totient is φ = 7185914981856.

The previous prime is 21604006217609. The next prime is 21604006217653. The reversal of 21604006217628 is 82671260040612.

21604006217628 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 4 + 0 + 0 + 6 + 2 + 17 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642500623 + ... + 642534246.

It is an arithmetic number, because the mean of its divisors is an integer number (1520196251210).

Almost surely, 221604006217628 is an apocalyptic number.

It is an amenable number.

21604006217628 is an abundant number, since it is smaller than the sum of its proper divisors (33123058825932).

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

21604006217628 is a wasteful number, since it uses less digits than its factorization.

21604006217628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285035346 (or 1285035341 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 21604006217628 in words is "twenty-one trillion, six hundred four billion, six million, two hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 16812 1285034869 2570069738 3855104607 5140139476 7710209214 11565313821 15420418428 23130627642 46261255284 600111283823 1200222567646 1800333851469 2400445135292 3600667702938 5401001554407 7201335405876 10802003108814 21604006217628