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38834000919 = 3272307373769
BaseRepresentation
bin100100001010101011…
…111101010000010111
310201020102000122110100
4210022223331100113
51114013001012134
625501243225143
72543225363400
oct441253752027
9121212018410
1038834000919
111551886573a
1276395181b3
13387b63418c
141c457ac9a7
151024465999
hex90aafd417

38834000919 has 72 divisors (see below), whose sum is σ = 65725099440. Its totient is φ = 22030589952.

The previous prime is 38834000911. The next prime is 38834000951. The reversal of 38834000919 is 91900043883.

38834000919 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 38834000919 - 23 = 38834000911 is a prime.

It is a super-2 number, since 2×388340009192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38834000911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50498967 + ... + 50499735.

Almost surely, 238834000919 is an apocalyptic number.

38834000919 is a deficient number, since it is larger than the sum of its proper divisors (26891098521).

38834000919 is a wasteful number, since it uses less digits than its factorization.

With its successor (38834000920) it forms an eRAP, since the sums of their prime factors are consecutive (1469 and 1470).

38834000919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 38834000919 in words is "thirty-eight billion, eight hundred thirty-four million, nine hundred nineteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 63 147 307 373 441 769 921 1119 2149 2307 2611 2763 3357 5383 6447 6921 7833 15043 16149 18277 19341 23499 37681 45129 48447 54831 113043 114511 135387 164493 236083 286837 339129 343533 708249 801577 860511 1030599 1652581 2007859 2124747 2404731 2581533 4957743 5611039 6023577 7214193 11568067 14055013 14873229 16833117 18070731 34704201 42165039 50499351 88058959 104112603 126495117 264176877 616412713 792530631 1849238139 4314888991 5547714417 12944666973 38834000919