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42056600544 = 253376953803
BaseRepresentation
bin100111001010110001…
…001100101111100000
311000112222220200002000
4213022301030233200
51142112442204134
631153122524000
73016126130520
oct471261145740
9130488820060
1042056600544
1116921944512
128198806600
133c7318646a
14206d79b680
151162329e99
hex9cac4cbe0

42056600544 has 96 divisors (see below), whose sum is σ = 140188688640. Its totient is φ = 12016169856.

The previous prime is 42056600539. The next prime is 42056600569. The reversal of 42056600544 is 44500665024.

42056600544 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 6 + 600 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42056600499 and 42056600508.

It is a congruent number.

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, 3470854 + ... + 3482949.

It is an arithmetic number, because the mean of its divisors is an integer number (1460298840).

Almost surely, 242056600544 is an apocalyptic number.

It is an amenable number.

42056600544 is an abundant number, since it is smaller than the sum of its proper divisors (98132088096).

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

42056600544 is a wasteful number, since it uses less digits than its factorization.

42056600544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953829 (or 6953815 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42056600544 in words is "forty-two billion, fifty-six million, six hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6953803 13907606 20861409 27815212 41722818 48676621 55630424 62584227 83445636 97353242 111260848 125168454 146029863 166891272 187752681 194706484 222521696 250336908 292059726 333782544 375505362 389412968 438089589 500673816 584119452 667565088 751010724 778825936 876179178 1001347632 1168238904 1314268767 1502021448 1557651872 1752358356 2002695264 2336477808 2628537534 3004042896 3504716712 4672955616 5257075068 6008085792 7009433424 10514150136 14018866848 21028300272 42056600544