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38006343438 = 2373181102031
BaseRepresentation
bin100011011001010110…
…101100011100001110
310122002201122021211120
4203121112230130032
51110314110442223
625243155501410
72513555406000
oct433126543416
9118081567746
1038006343438
1115133654398
1274482b7866
13377901961b
141ba78c4370
15ec6978be3
hex8d95ac70e

38006343438 has 64 divisors (see below), whose sum is σ = 89135155200. Its totient is φ = 10798855200.

The previous prime is 38006343421. The next prime is 38006343457. The reversal of 38006343438 is 83434360083.

38006343438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 38006343438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321483 + ... + 423513.

It is an arithmetic number, because the mean of its divisors is an integer number (1392736800).

Almost surely, 238006343438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38006343438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567577600).

38006343438 is an abundant number, since it is smaller than the sum of its proper divisors (51128811762).

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

38006343438 is a wasteful number, since it uses less digits than its factorization.

38006343438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102238 (or 102224 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 38006343438 in words is "thirty-eight billion, six million, three hundred forty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 343 362 543 686 1029 1086 1267 2058 2534 3801 7602 8869 17738 26607 53214 62083 102031 124166 186249 204062 306093 372498 612186 714217 1428434 2142651 4285302 4999519 9999038 14998557 18467611 29997114 34996633 36935222 55402833 69993266 104989899 110805666 129273277 209979798 258546554 387819831 775639662 904912939 1809825878 2714738817 5429477634 6334390573 12668781146 19003171719 38006343438