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40850600427 = 33721322310651
BaseRepresentation
bin100110000010111000…
…101011000111101011
310220102221121111221000
4212002320223013223
51132130223203202
630433322050043
72644213242300
oct460270530753
9126387544830
1040850600427
111636310a7aa
127b00949923
133b10370c20
141d975490a7
1510e150691c
hex982e2b1eb

40850600427 has 96 divisors (see below), whose sum is σ = 76162652160. Its totient is φ = 21448929600.

The previous prime is 40850600407. The next prime is 40850600429. The reversal of 40850600427 is 72400605804.

40850600427 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 0 + 600 + 42 + 7 = 666.

40850600427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40850600427 - 219 = 40850076139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40850600391 and 40850600400.

It is not an unprimeable number, because it can be changed into a prime (40850600429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3830052 + ... + 3840702.

It is an arithmetic number, because the mean of its divisors is an integer number (793360960).

Almost surely, 240850600427 is an apocalyptic number.

40850600427 is a deficient number, since it is larger than the sum of its proper divisors (35312051733).

40850600427 is a wasteful number, since it uses less digits than its factorization.

40850600427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40850600427 in words is "forty billion, eight hundred fifty million, six hundred thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 223 273 351 441 637 669 819 1323 1561 1911 2007 2457 2899 4683 5733 6021 8697 10651 10927 14049 17199 20293 26091 31953 32781 42147 60879 74557 78273 95859 98343 138463 142051 182637 223671 287577 295029 415389 426153 521899 547911 671013 969241 1246167 1278459 1565697 2013039 2375173 2907723 3738501 3835377 4697091 6784687 7125519 8723169 14091273 16626211 20354061 21376557 26169507 30877249 49878633 61062183 64129671 92631747 116383477 149635899 183186549 216140743 277895241 349150431 448907697 648422229 833685723 1047451293 1512985201 1945266687 3142353879 4538955603 5835800061 13616866809 40850600427