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42078542964 = 22319239782723
BaseRepresentation
bin100111001100000100…
…111001110001110100
311000121112012110102020
4213030010321301310
51142134101333324
631155225113140
73016513466553
oct471404716164
9130545173366
1042078542964
1116933271147
1281a40287b0
133c77899a43
14207266dd9a
151164211679
hex9cc139c74

42078542964 has 96 divisors (see below), whose sum is σ = 108957434880. Its totient is φ = 12579038208.

The previous prime is 42078542921. The next prime is 42078542971. The reversal of 42078542964 is 46924587024.

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 31 ways as a sum of consecutive naturals, for example, 467307 + ... + 550029.

It is an arithmetic number, because the mean of its divisors is an integer number (1134973280).

Almost surely, 242078542964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42078542964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54478717440).

42078542964 is an abundant number, since it is smaller than the sum of its proper divisors (66878891916).

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

42078542964 is a wasteful number, since it uses less digits than its factorization.

42078542964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82869 (or 82867 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 42078542964 in words is "forty-two billion, seventy-eight million, five hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 97 114 138 194 228 276 291 388 437 582 874 1164 1311 1748 1843 2231 2622 3686 4462 5244 5529 6693 7372 8924 11058 13386 22116 26772 42389 82723 84778 127167 165446 169556 248169 254334 330892 496338 508668 992676 1571737 1902629 3143474 3805258 4715211 5707887 6286948 7610516 8024131 9430422 11415774 16048262 18860844 22831548 24072393 32096524 36149951 48144786 72299902 96289572 108449853 144599804 152458489 184555013 216899706 304916978 369110026 433799412 457375467 553665039 609833956 738220052 914750934 1107330078 1829501868 2214660156 3506545247 7013090494 10519635741 14026180988 21039271482 42078542964