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21726146106335 = 5113112742607687
BaseRepresentation
bin1001111000010100000110…
…01110001001001111011111
32211220222222110220011000102
410330022003032021033133
510321430121400400320
6114112504223451315
74401443103601466
oct474120316111737
984828873804012
1021726146106335
116a17009094270
12252a80a456b3b
13c179c7827738
145517a02539dd
1527a230cb9175
hex13c2833893df

21726146106335 has 16 divisors (see below), whose sum is σ = 29358968113152. Its totient is φ = 15291129223200.

The previous prime is 21726146106307. The next prime is 21726146106337. The reversal of 21726146106335 is 53360164162712.

It is not a de Polignac number, because 21726146106335 - 218 = 21726145844191 is a prime.

It is a super-2 number, since 2×217261461063352 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21726146106335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21726146106337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6371302139 + ... + 6371305548.

It is an arithmetic number, because the mean of its divisors is an integer number (1834935507072).

Almost surely, 221726146106335 is an apocalyptic number.

21726146106335 is a deficient number, since it is larger than the sum of its proper divisors (7632822006817).

21726146106335 is a wasteful number, since it uses less digits than its factorization.

21726146106335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742607734.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 21726146106335 in words is "twenty-one trillion, seven hundred twenty-six billion, one hundred forty-six million, one hundred six thousand, three hundred thirty-five".

Divisors: 1 5 11 31 55 155 341 1705 12742607687 63713038435 140168684557 395020838297 700843422785 1975104191485 4345229221267 21726146106335