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42132091995 = 3257133752673
BaseRepresentation
bin100111001111010001…
…001011010001011011
311000202020222000212200
4213033101023101123
51142241303420440
631204420541243
73021033605310
oct471721132133
9130666860780
1042132091995
1116960516344
1281b9b51823
133c859c8666
14207980cd07
151168c8cc30
hex9cf44b45b

42132091995 has 24 divisors (see below), whose sum is σ = 83461668576. Its totient is φ = 19260384768.

The previous prime is 42132091951. The next prime is 42132092003. The reversal of 42132091995 is 59919023124.

42132091995 is a `hidden beast` number, since 421 + 3 + 209 + 19 + 9 + 5 = 666.

It is not a de Polignac number, because 42132091995 - 213 = 42132083803 is a prime.

It is a super-2 number, since 2×421320919952 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42132091995.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66876022 + ... + 66876651.

It is an arithmetic number, because the mean of its divisors is an integer number (3477569524).

Almost surely, 242132091995 is an apocalyptic number.

42132091995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42132091995 is a deficient number, since it is larger than the sum of its proper divisors (41329576581).

42132091995 is a wasteful number, since it uses less digits than its factorization.

42132091995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133752691 (or 133752688 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

It can be divided in two parts, 421320 and 91995, that added together give a palindrome (513315).

The spelling of 42132091995 in words is "forty-two billion, one hundred thirty-two million, ninety-one thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 133752673 401258019 668763365 936268711 1203774057 2006290095 2808806133 4681343555 6018870285 8426418399 14044030665 42132091995