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42352125125535 = 3257197136657229
BaseRepresentation
bin10011010000100110111110…
…10111111010001110011111
312112221211020102022121211200
421220103133113322032133
521022344123013004120
6230024144144450543
711630561066531241
oct1150233727721637
9175854212277750
1042352125125535
11125494875744a5
124900161019a53
131a82a32a74684
14a65bd4b48091
154d6a215c9e90
hex2684df5fa39f

42352125125535 has 48 divisors (see below), whose sum is σ = 75211766360640. Its totient is φ = 22040077731840.

The previous prime is 42352125125411. The next prime is 42352125125539. The reversal of 42352125125535 is 53552152125324.

42352125125535 is a `hidden beast` number, since 4 + 2 + 3 + 52 + 1 + 2 + 512 + 55 + 35 = 666.

It is not a de Polignac number, because 42352125125535 - 27 = 42352125125407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42352125125539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68018700 + ... + 68638529.

It is an arithmetic number, because the mean of its divisors is an integer number (1566911799180).

Almost surely, 242352125125535 is an apocalyptic number.

42352125125535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42352125125535 is a deficient number, since it is larger than the sum of its proper divisors (32859641235105).

42352125125535 is a wasteful number, since it uses less digits than its factorization.

42352125125535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136657408 (or 136657405 counting only the distinct ones).

The product of its digits is 1800000, while the sum is 45.

The spelling of 42352125125535 in words is "forty-two trillion, three hundred fifty-two billion, one hundred twenty-five million, one hundred twenty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 71 97 213 291 355 485 639 873 1065 1455 3195 4365 6887 20661 34435 61983 103305 309915 136657229 409971687 683286145 1229915061 2049858435 6149575305 9702663259 13255751213 29107989777 39767253639 48513316295 66278756065 87323969331 119301760917 145539948885 198836268195 436619846655 596508804585 941158336123 2823475008369 4705791680615 8470425025107 14117375041845 42352125125535