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21924142417 = 1011402915473
BaseRepresentation
bin10100011010110001…
…111101110101010001
32002120221010211102201
4110122301331311101
5324400040024132
614023302243201
71404205064362
oct243261756521
962527124381
1021924142417
119330674771
1242ba426501
1320b5212248
1410bda75b69
15884b472e7
hex51ac7dd51

21924142417 has 8 divisors (see below), whose sum is σ = 22144222440. Its totient is φ = 21704121600.

The previous prime is 21924142381. The next prime is 21924142423. The reversal of 21924142417 is 71424142912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2330861841 + 19593280576 = 48279^2 + 139976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21924142417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21924142517) 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 7 ways as a sum of consecutive naturals, for example, 1409193 + ... + 1424665.

It is an arithmetic number, because the mean of its divisors is an integer number (2768027805).

Almost surely, 221924142417 is an apocalyptic number.

It is an amenable number.

21924142417 is a deficient number, since it is larger than the sum of its proper divisors (220080023).

21924142417 is a wasteful number, since it uses less digits than its factorization.

21924142417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29603.

The product of its digits is 32256, while the sum is 37.

The spelling of 21924142417 in words is "twenty-one billion, nine hundred twenty-four million, one hundred forty-two thousand, four hundred seventeen".

Divisors: 1 101 14029 15473 1416929 1562773 217070717 21924142417