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42166606504 = 23115095471721
BaseRepresentation
bin100111010001010100…
…110101101010101000
311000211122220112212211
4213101110311222220
51142324122402004
631212052414504
73021633145561
oct472124655250
9130748815784
1042166606504
1116978a4a630
128209617434
133c8cbc1449
142080235168
15116bd09504
hex9d1535aa8

42166606504 has 64 divisors (see below), whose sum is σ = 86627620800. Its totient is φ = 19082918400.

The previous prime is 42166606499. The next prime is 42166606519. The reversal of 42166606504 is 40560666124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24500364 + ... + 24502084.

It is an arithmetic number, because the mean of its divisors is an integer number (1353556575).

Almost surely, 242166606504 is an apocalyptic number.

42166606504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42166606504 is an abundant number, since it is smaller than the sum of its proper divisors (44461014296).

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

42166606504 is a wasteful number, since it uses less digits than its factorization.

42166606504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 42166606504 in words is "forty-two billion, one hundred sixty-six million, six hundred six thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 509 547 1018 1094 1721 2036 2188 3442 4072 4376 5599 6017 6884 11198 12034 13768 18931 22396 24068 37862 44792 48136 75724 151448 278423 556846 875989 941387 1113692 1751978 1882774 2227384 3062653 3503956 3765548 6125306 7007912 7531096 9635879 10355257 12250612 19271758 20710514 24501224 38543516 41421028 77087032 82842056 479165983 958331966 1916663932 3833327864 5270825813 10541651626 21083303252 42166606504