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40673573776 = 24111314493929
BaseRepresentation
bin100101111000010101…
…010111101110010000
310212222121111122000101
4211320111113232100
51131244413330101
630403555502144
72636633446513
oct457025275620
9125877448011
1040673573776
1116282198a90
127a715b7954
133ab279b524
141d7bc26d7a
1510d0bd9401
hex978557b90

40673573776 has 80 divisors (see below), whose sum is σ = 86840424000. Its totient is φ = 18301337600.

The previous prime is 40673573741. The next prime is 40673573797. The reversal of 40673573776 is 67737537604.

40673573776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10350180 + ... + 10354108.

It is an arithmetic number, because the mean of its divisors is an integer number (1085505300).

Almost surely, 240673573776 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 40673573776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43420212000).

40673573776 is an abundant number, since it is smaller than the sum of its proper divisors (46166850224).

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

40673573776 is a wasteful number, since it uses less digits than its factorization.

40673573776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 55.

The spelling of 40673573776 in words is "forty billion, six hundred seventy-three million, five hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 449 524 898 1048 1441 1796 2096 2882 3592 3929 4939 5764 7184 7858 9878 11528 15716 19756 23056 31432 39512 43219 58819 62864 79024 86438 117638 172876 235276 345752 470552 514699 647009 691504 941104 1029398 1294018 1764121 2058796 2588036 3528242 4117592 5176072 5661689 7056484 8235184 10352144 11323378 14112968 19405331 22646756 28225936 38810662 45293512 77621324 90587024 155242648 231099851 310485296 462199702 924399404 1848798808 2542098361 3697597616 5084196722 10168393444 20336786888 40673573776