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8050368042 = 2322943335617
BaseRepresentation
bin1110111111101011…
…01101111000101010
3202210001012001212100
413133311231320222
5112441343234132
63410455154230
7403331666523
oct73765557052
922701161770
108050368042
11346124a732
121688075976
139b3ac9bb2
1456525984a
15321b4937c
hex1dfd6de2a

8050368042 has 48 divisors (see below), whose sum is σ = 18086108040. Its totient is φ = 2584866816.

The previous prime is 8050368019. The next prime is 8050368101. The reversal of 8050368042 is 2408630508.

It can be written as a sum of positive squares in 4 ways, for example, as 4937732361 + 3112635681 = 70269^2 + 55791^2 .

It is a super-2 number, since 2×80503680422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8050367988 and 8050368006.

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, 208218 + ... + 243834.

Almost surely, 28050368042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8050368042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043054020).

8050368042 is an abundant number, since it is smaller than the sum of its proper divisors (10035739998).

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

8050368042 is a wasteful number, since it uses less digits than its factorization.

8050368042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36087 (or 36084 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8050368042 is about 89723.8432190686. The cubic root of 8050368042 is about 2004.1885586977.

The spelling of 8050368042 in words is "eight billion, fifty million, three hundred sixty-eight thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 433 522 866 1299 2598 3897 7794 12557 25114 35617 37671 71234 75342 106851 113013 213702 226026 320553 641106 1032893 2065786 3098679 6197358 9296037 15422161 18592074 30844322 46266483 92532966 138799449 277598898 447242669 894485338 1341728007 2683456014 4025184021 8050368042