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42740782100081 = 13107153292004479
BaseRepresentation
bin10011011011111010111010…
…01000100110111001110001
312121022222102120222121010122
421231331131020212321301
521100231110204200311
6230522502204340025
712000630265361222
oct1155753510467161
9177288376877118
1042740782100081
111268929a27799a
124963549544615
131ab05913a4920
14a7a944667249
154e1bbc2770db
hex26df5d226e71

42740782100081 has 16 divisors (see below), whose sum is σ = 46461761740800. Its totient is φ = 39081740533248.

The previous prime is 42740782100069. The next prime is 42740782100113. The reversal of 42740782100081 is 18000128704724.

It is a cyclic number.

It is not a de Polignac number, because 42740782100081 - 226 = 42740714991217 is a prime.

It is a super-3 number, since 3×427407821000813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42740782106081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20320400 + ... + 22324878.

It is an arithmetic number, because the mean of its divisors is an integer number (2903860108800).

Almost surely, 242740782100081 is an apocalyptic number.

It is an amenable number.

42740782100081 is a deficient number, since it is larger than the sum of its proper divisors (3720979640719).

42740782100081 is a wasteful number, since it uses less digits than its factorization.

42740782100081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019928.

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 42740782100081 in words is "forty-two trillion, seven hundred forty billion, seven hundred eighty-two million, one hundred thousand, eighty-one".

Divisors: 1 13 107 1391 15329 199277 1640203 2004479 21322639 26058227 214479253 2788230289 30726658591 399446561683 3287752469237 42740782100081