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66443442192 = 24321739076947
BaseRepresentation
bin111101111000010101…
…100111100000010000
320100111120001120202100
4331320111213200100
52042034010122232
650305041320400
74541346640311
oct757025474020
9210446046670
1066443442192
11261a66555a6
1210a63936100
13635b667a8a
143304534608
151add280c7c
hexf78567810

66443442192 has 120 divisors (see below), whose sum is σ = 196966295136. Its totient is φ = 20836666368.

The previous prime is 66443442181. The next prime is 66443442281. The reversal of 66443442192 is 29124434466.

66443442192 is a `hidden beast` number, since 66 + 443 + 44 + 21 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 9560863 + ... + 9567809.

Almost surely, 266443442192 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 66443442192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98483147568).

66443442192 is an abundant number, since it is smaller than the sum of its proper divisors (130522852944).

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

66443442192 is a wasteful number, since it uses less digits than its factorization.

66443442192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10876 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 66443442192 in words is "sixty-six billion, four hundred forty-three million, four hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 3907 6947 7814 11721 13894 15628 20841 23442 27788 31256 35163 41682 46884 55576 62512 62523 66419 70326 83364 93768 111152 118099 125046 132838 140652 166728 187536 199257 236198 250092 265676 281304 333456 354297 398514 472396 500184 531352 562608 597771 708594 797028 944792 1000368 1062704 1062891 1195542 1417188 1594056 1889584 2125782 2391084 2834376 3188112 4251564 4782168 5668752 8503128 9564336 17006256 27141929 54283858 81425787 108567716 162851574 217135432 244277361 325703148 434270864 461412793 488554722 651406296 922825586 977109444 1302812592 1384238379 1845651172 1954218888 2768476758 3691302344 3908437776 4152715137 5536953516 7382604688 8305430274 11073907032 16610860548 22147814064 33221721096 66443442192