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21678355917 = 336734934337
BaseRepresentation
bin10100001100001000…
…010111010111001101
32001221210122120202000
4110030020113113031
5323344124342132
613543042222513
71365131661561
oct241410272715
961853576660
1021678355917
119214959729
124250054a39
13207631664a
1410991756a1
1586d29687c
hex50c2175cd

21678355917 has 32 divisors (see below), whose sum is σ = 32689776000. Its totient is φ = 14195326464.

The previous prime is 21678355883. The next prime is 21678355931. The reversal of 21678355917 is 71955387612.

21678355917 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 83 + 559 + 1 + 7 = 666.

It is not a de Polignac number, because 21678355917 - 211 = 21678353869 is a prime.

It is a super-2 number, since 2×216783559172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21678355997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614173 + ... + 648509.

It is an arithmetic number, because the mean of its divisors is an integer number (1021555500).

Almost surely, 221678355917 is an apocalyptic number.

21678355917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21678355917 is a deficient number, since it is larger than the sum of its proper divisors (11011420083).

21678355917 is a wasteful number, since it uses less digits than its factorization.

21678355917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34762 (or 34756 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 21678355917 in words is "twenty-one billion, six hundred seventy-eight million, three hundred fifty-five thousand, nine hundred seventeen".

Divisors: 1 3 9 27 67 201 349 603 1047 1809 3141 9423 23383 34337 70149 103011 210447 309033 631341 927099 2300579 6901737 11983613 20705211 35950839 62115633 107852517 323557551 802902071 2408706213 7226118639 21678355917