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38488493952 = 273617191277
BaseRepresentation
bin100011110110000101…
…111100111110000000
310200100022220002000000
4203312011330332000
51112311023301302
625403102000000
72531531541426
oct436605747600
9120308802000
1038488493952
111536082a197
127561876000
133824b9209c
141c11951116
151003e6831c
hex8f617cf80

38488493952 has 448 divisors, whose sum is σ = 128231197200. Its totient is φ = 11430346752.

The previous prime is 38488493929. The next prime is 38488493993. The reversal of 38488493952 is 25939488483.

38488493952 is a `hidden beast` number, since 38 + 488 + 49 + 39 + 52 = 666.

38488493952 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 38488493952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30139138 + ... + 30140414.

Almost surely, 238488493952 is an apocalyptic number.

38488493952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38488493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64115598600).

38488493952 is an abundant number, since it is smaller than the sum of its proper divisors (89742703248).

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

38488493952 is a wasteful number, since it uses less digits than its factorization.

38488493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1318 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 38488493952 in words is "thirty-eight billion, four hundred eighty-eight million, four hundred ninety-three thousand, nine hundred fifty-two".