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20924414217 = 327332133559
BaseRepresentation
bin10011011111001100…
…010011100100001001
32000000020222101011100
4103133030103210021
5320323122223332
613340150452013
71340345405040
oct233714234411
960006871140
1020924414217
118968317113
12407b664009
131c8606b9b5
141026d99557
15826ebb67c
hex4df313909

20924414217 has 12 divisors (see below), whose sum is σ = 34541890240. Its totient is φ = 11956808088.

The previous prime is 20924414213. The next prime is 20924414239. The reversal of 20924414217 is 71241442902.

It is a happy number.

20924414217 is a `hidden beast` number, since 2 + 0 + 9 + 24 + 414 + 217 = 666.

It is not a de Polignac number, because 20924414217 - 22 = 20924414213 is a prime.

It is a super-2 number, since 2×209244142172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20924414213) 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 11 ways as a sum of consecutive naturals, for example, 166066717 + ... + 166066842.

Almost surely, 220924414217 is an apocalyptic number.

It is an amenable number.

20924414217 is a deficient number, since it is larger than the sum of its proper divisors (13617476023).

20924414217 is a wasteful number, since it uses less digits than its factorization.

20924414217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332133572 (or 332133569 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20924414217 in words is "twenty billion, nine hundred twenty-four million, four hundred fourteen thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 63 332133559 996400677 2324934913 2989202031 6974804739 20924414217