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42041069595 = 32572937912143
BaseRepresentation
bin100111001001110101…
…111101000000011011
311000111220200121121200
4213021311331000123
51142100003211340
631151410005243
73015550124010
oct471165750033
9130456617550
1042041069595
11169140a6918
128193576823
133c6cba9255
14206b6b7707
151160cad330
hex9c9d7d01b

42041069595 has 96 divisors (see below), whose sum is σ = 86387558400. Its totient is φ = 18505573632.

The previous prime is 42041069591. The next prime is 42041069627. The reversal of 42041069595 is 59596014024.

42041069595 is a `hidden beast` number, since 42 + 0 + 4 + 10 + 6 + 9 + 595 = 666.

It is not a de Polignac number, because 42041069595 - 22 = 42041069591 is a prime.

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 42041069595.

It is not an unprimeable number, because it can be changed into a prime (42041069591) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3456094 + ... + 3468236.

It is an arithmetic number, because the mean of its divisors is an integer number (899870400).

Almost surely, 242041069595 is an apocalyptic number.

42041069595 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42041069595 is an abundant number, since it is smaller than the sum of its proper divisors (44346488805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42041069595 is a wasteful number, since it uses less digits than its factorization.

42041069595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42041069595 in words is "forty-two billion, forty-one million, sixty-nine thousand, five hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 379 435 609 1015 1137 1305 1827 1895 2653 3045 3411 5685 7959 9135 10991 12143 13265 17055 23877 32973 36429 39795 54955 60715 76937 85001 98919 109287 119385 164865 182145 230811 255003 352147 384685 425005 494595 546435 692433 765009 1056441 1154055 1275015 1760735 2465029 3169323 3462165 3825045 4602197 5282205 7395087 12325145 13806591 15846615 22185261 23010985 32215379 36975435 41419773 69032955 96646137 110926305 133463713 161076895 207098865 289938411 400391139 483230685 667318565 934245991 1201173417 1449692055 2001955695 2802737973 4671229955 6005867085 8408213919 14013689865 42041069595