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38775994542 = 2351910314073
BaseRepresentation
bin100100000111001110…
…101011100010101110
310201002100212121200000
4210013032223202232
51113403123311132
625451412045130
72541622341525
oct440716534256
9121070777600
1038775994542
111549904668a
1276220037a6
13386c60478c
141c3bbcd4bc
15101e30887c
hex9073ab8ae

38775994542 has 96 divisors (see below), whose sum is σ = 91823397120. Its totient is φ = 12230170560.

The previous prime is 38775994421. The next prime is 38775994553. The reversal of 38775994542 is 24549957783.

38775994542 is a `hidden beast` number, since 3 + 87 + 7 + 5 + 9 + 9 + 4 + 542 = 666.

38775994542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38775994542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9518218 + ... + 9522290.

It is an arithmetic number, because the mean of its divisors is an integer number (956493720).

Almost surely, 238775994542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38775994542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45911698560).

38775994542 is an abundant number, since it is smaller than the sum of its proper divisors (53047402578).

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

38775994542 is a wasteful number, since it uses less digits than its factorization.

38775994542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5128 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 38775994542 in words is "thirty-eight billion, seven hundred seventy-five million, nine hundred ninety-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1031 1539 2062 3078 3093 4073 4617 6186 8146 9234 9279 12219 18558 19589 24438 27837 36657 39178 55674 58767 73314 77387 83511 109971 117534 154774 167022 176301 219942 232161 250533 329913 352602 464322 501066 528903 659826 696483 989739 1057806 1392966 1586709 1979478 2089449 3173418 4178898 4199263 4760127 6268347 8398526 9520254 12536694 12597789 18805041 25195578 37610082 37793367 75586734 79785997 113380101 159571994 226760202 239357991 340140303 478715982 680280606 718073973 1020420909 1436147946 2040841818 2154221919 4308443838 6462665757 12925331514 19387997271 38775994542