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38457473068 = 22737417091277
BaseRepresentation
bin100011110100001111…
…100111100000101100
310200021011112001100101
4203310033213200230
51112230103114233
625400033040444
72531004061510
oct436417474054
9120234461311
1038457473068
11153452717a3
1275533b6124
13381b620531
141c0b798140
15100138bc7d
hex8f43e782c

38457473068 has 96 divisors (see below), whose sum is σ = 81097994880. Its totient is φ = 15610890240.

The previous prime is 38457473059. The next prime is 38457473137. The reversal of 38457473068 is 86037475483.

38457473068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 30114846 + ... + 30116122.

It is an arithmetic number, because the mean of its divisors is an integer number (844770780).

Almost surely, 238457473068 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 38457473068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40548997440).

38457473068 is an abundant number, since it is smaller than the sum of its proper divisors (42640521812).

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

38457473068 is a wasteful number, since it uses less digits than its factorization.

38457473068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 38457473068 in words is "thirty-eight billion, four hundred fifty-seven million, four hundred seventy-three thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 37 41 74 82 148 164 259 287 518 574 709 1036 1148 1277 1418 1517 2554 2836 3034 4963 5108 6068 8939 9926 10619 17878 19852 21238 26233 29069 35756 42476 47249 52357 52466 58138 94498 104714 104932 116276 183631 188996 203483 209428 330743 366499 367262 406966 661486 732998 734524 813932 905393 1075553 1322972 1465996 1810786 1937209 2151106 3621572 3874418 4302212 6337751 7528871 7748836 12675502 13560463 15057742 25351004 27120926 30115484 33499541 37121113 54241852 66999082 74242226 133998164 148484452 234496787 259847791 468993574 519695582 937987148 1039391164 1373481181 2746962362 5493924724 9614368267 19228736534 38457473068