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42021578088 = 2333773380713
BaseRepresentation
bin100111001000101011…
…100110010101101000
311000110120000100022000
4213020223212111220
51142030010444323
631145432131000
73015222343320
oct471053462550
9130416010260
1042021578088
11169040a3636
128188b36a60
133c68b43409
142068c82280
15115e20ce43
hex9c8ae6568

42021578088 has 128 divisors (see below), whose sum is σ = 135229612800. Its totient is φ = 11841666048.

The previous prime is 42021578077. The next prime is 42021578117. The reversal of 42021578088 is 88087512024.

It is a happy number.

42021578088 is a `hidden beast` number, since 420 + 21 + 57 + 80 + 88 = 666.

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 31 ways as a sum of consecutive naturals, for example, 79981 + ... + 300732.

It is an arithmetic number, because the mean of its divisors is an integer number (1056481350).

Almost surely, 242021578088 is an apocalyptic number.

It is an amenable number.

42021578088 is an abundant number, since it is smaller than the sum of its proper divisors (93208034712).

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

42021578088 is a wasteful number, since it uses less digits than its factorization.

42021578088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380808 (or 380798 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 42021578088 in words is "forty-two billion, twenty-one million, five hundred seventy-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 584 657 756 876 1022 1314 1512 1533 1752 1971 2044 2628 3066 3942 4088 4599 5256 6132 7884 9198 12264 13797 15768 18396 27594 36792 55188 110376 380713 761426 1142139 1522852 2284278 2664991 3045704 3426417 4568556 5329982 6852834 7994973 9137112 10279251 10659964 13705668 15989946 20558502 21319928 23984919 27411336 27792049 31979892 41117004 47969838 55584098 63959784 71954757 82234008 83376147 95939676 111168196 143909514 166752294 191879352 194544343 222336392 250128441 287819028 333504588 389088686 500256882 575638056 583633029 667009176 750385323 778177372 1000513764 1167266058 1500770646 1556354744 1750899087 2001027528 2334532116 3001541292 3501798174 4669064232 5252697261 6003082584 7003596348 10505394522 14007192696 21010789044 42021578088