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42176182048 = 25711213119699
BaseRepresentation
bin100111010001111001…
…010111011100100000
311000212022221001001121
4213101321113130200
51142334100311143
631213033542024
73022110426610
oct472171273440
9130768831047
1042176182048
111698339a900
128210874914
133c91b94a50
142081608a40
15116ca9b7ed
hex9d1e57720

42176182048 has 144 divisors (see below), whose sum is σ = 112332225600. Its totient is φ = 15168130560.

The previous prime is 42176182039. The next prime is 42176182051. The reversal of 42176182048 is 84028167124.

42176182048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42176181995 and 42176182013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292503 + ... + 412201.

It is an arithmetic number, because the mean of its divisors is an integer number (780084900).

Almost surely, 242176182048 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 42176182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56166112800).

42176182048 is an abundant number, since it is smaller than the sum of its proper divisors (70156043552).

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

42176182048 is a wasteful number, since it uses less digits than its factorization.

42176182048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119751 (or 119732 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 42176182048 in words is "forty-two billion, one hundred seventy-six million, one hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 143 154 176 182 208 224 242 286 308 352 364 416 484 572 616 728 847 968 1001 1144 1232 1456 1573 1694 1936 2002 2288 2464 2912 3146 3388 3872 4004 4576 6292 6776 8008 11011 12584 13552 16016 22022 25168 27104 32032 44044 50336 88088 119699 176176 239398 352352 478796 837893 957592 1316689 1556087 1675786 1915184 2633378 3112174 3351572 3830368 5266756 6224348 6703144 9216823 10533512 10892609 12448696 13406288 14483579 17116957 18433646 21067024 21785218 24897392 26812576 28967158 34233914 36867292 42134048 43570436 49794784 57934316 68467828 73734584 87140872 101385053 115868632 119818699 136935656 147469168 174281744 188286527 202770106 231737264 239637398 273871312 294938336 348563488 376573054 405540212 463474528 479274796 547742624 753146108 811080424 958549592 1318005689 1506292216 1622160848 1917099184 2636011378 3012584432 3244321696 3834198368 5272022756 6025168864 10544045512 21088091024 42176182048