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42363606401532 = 22331328327964327
BaseRepresentation
bin10011010000111100010111…
…01101100000000111111100
312112222220212120100212122000
421220132023231200013330
521023041131214322112
6230033323324222300
711631445442005143
oct1150361355400774
9175886776325560
1042363606401532
1112553339440049
12490242609a990
131a83b425c9700
14a665a38d875a
154d6e945347dc
hex26878bb601fc

42363606401532 has 144 divisors (see below), whose sum is σ = 120362942004480. Its totient is φ = 12877907694912.

The previous prime is 42363606401527. The next prime is 42363606401537. The reversal of 42363606401532 is 23510460636324.

42363606401532 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 3 + 606 + 4 + 0 + 1 + 5 + 32 = 666.

42363606401532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42363606401527) and next prime (42363606401537).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42363606401537) 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, 12467248 + ... + 15497079.

It is an arithmetic number, because the mean of its divisors is an integer number (835853763920).

Almost surely, 242363606401532 is an apocalyptic number.

It is an amenable number.

42363606401532 is an abundant number, since it is smaller than the sum of its proper divisors (77999335602948).

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

42363606401532 is a wasteful number, since it uses less digits than its factorization.

42363606401532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27964449 (or 27964428 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 42363606401532 in words is "forty-two trillion, three hundred sixty-three billion, six hundred six million, four hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 169 234 249 332 338 351 468 498 507 676 702 747 996 1014 1079 1404 1494 1521 2028 2158 2241 2988 3042 3237 4316 4482 4563 6084 6474 8964 9126 9711 12948 14027 18252 19422 28054 29133 38844 42081 56108 58266 84162 116532 126243 168324 252486 378729 504972 757458 1514916 27964327 55928654 83892981 111857308 167785962 251678943 335571924 363536251 503357886 727072502 755036829 1006715772 1090608753 1454145004 1510073658 2181217506 2321039141 3020147316 3271826259 4362435012 4642078282 4725971263 6543652518 6963117423 9284156564 9451942526 9815478777 13087305036 13926234846 14177913789 18903885052 19630957554 20889352269 27852469692 28355827578 30173508833 39261915108 41778704538 42533741367 56711655156 60347017666 62668056807 83557409076 85067482734 90520526499 120694035332 125336113614 127601224101 170134965468 181041052998 250672227228 255202448202 271561579497 362082105996 392255614829 510404896404 543123158994 784511229658 814684738491 1086246317988 1176766844487 1569022459316 1629369476982 2353533688974 3258738953964 3530300533461 4707067377948 7060601066922 10590901600383 14121202133844 21181803200766 42363606401532