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42919455807 = 321710123911621
BaseRepresentation
bin100111111110001100…
…101110110000111111
311002210010112020222100
4213332030232300333
51200344340041212
631414504520143
73046404232524
oct477614566077
9132703466870
1042919455807
1117224a06438
128399780053
13407cb75ac7
14211220914b
1511b2e6abdc
hex9fe32ec3f

42919455807 has 48 divisors (see below), whose sum is σ = 66574535040. Its totient is φ = 26549376000.

The previous prime is 42919455793. The next prime is 42919455827. The reversal of 42919455807 is 70855491924.

It is a happy number.

42919455807 is a `hidden beast` number, since 4 + 2 + 9 + 19 + 45 + 580 + 7 = 666.

It is not a de Polignac number, because 42919455807 - 216 = 42919390271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42919455827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3687457 + ... + 3699077.

It is an arithmetic number, because the mean of its divisors is an integer number (1386969480).

Almost surely, 242919455807 is an apocalyptic number.

42919455807 is a deficient number, since it is larger than the sum of its proper divisors (23655079233).

42919455807 is a wasteful number, since it uses less digits than its factorization.

42919455807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 42919455807 in words is "forty-two billion, nine hundred nineteen million, four hundred fifty-five thousand, eight hundred seven".

Divisors: 1 3 9 17 51 101 153 239 303 717 909 1717 2151 4063 5151 11621 12189 15453 24139 34863 36567 72417 104589 197557 217251 410363 592671 1173721 1231089 1778013 2777419 3521163 3693267 8332257 10563489 19953257 24996771 47216123 59859771 141648369 179579313 280519319 424945107 841557957 2524673871 4768828423 14306485269 42919455807