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16442066745741 = 3713275321876989
BaseRepresentation
bin1110111101000011011110…
…0011000011100110001101
32011012211211220100021101110
43233100313203003212031
54123341323041330431
654545214200402233
73314620512243210
oct357206743034615
964184756307343
1016442066745741
11526a05004153a
121a166baa76379
13923632122780
1440bb2bd5d777
151d7a68955346
hexef4378c398d

16442066745741 has 32 divisors (see below), whose sum is σ = 26991655246080. Its totient is φ = 8669587820544.

The previous prime is 16442066745697. The next prime is 16442066745763. The reversal of 16442066745741 is 14754766024461.

It is a happy number.

It is not a de Polignac number, because 16442066745741 - 211 = 16442066743693 is a prime.

It is a super-3 number, since 3×164420667457413 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442066345741) 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, 10186926 + ... + 11690063.

It is an arithmetic number, because the mean of its divisors is an integer number (843489226440).

Almost surely, 216442066745741 is an apocalyptic number.

It is an amenable number.

16442066745741 is a deficient number, since it is larger than the sum of its proper divisors (10549588500339).

16442066745741 is a wasteful number, since it uses less digits than its factorization.

16442066745741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21879765.

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 16442066745741 in words is "sixteen trillion, four hundred forty-two billion, sixty-six million, seven hundred forty-five thousand, seven hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 2753 8259 19271 35789 57813 107367 250523 751569 21876989 65630967 153138923 284400857 459416769 853202571 1990805999 5972417997 60227350717 180682052151 421591455019 782955559321 1264774365057 2348866677963 5480688915247 16442066745741