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38043990576 = 243629472393
BaseRepresentation
bin100011011011100110…
…010011101000110000
310122012100110222000000
4203123212103220300
51110403230144301
625251022430000
72514523404264
oct433346235060
9118170428000
1038043990576
1115152928229
127458a32300
133783a6b237
141bac8c40a4
15ec9e13786
hex8db993a30

38043990576 has 280 divisors, whose sum is σ = 116806898880. Its totient is φ = 11978523648.

The previous prime is 38043990511. The next prime is 38043990577. The reversal of 38043990576 is 67509934083.

38043990576 is a `hidden beast` number, since 38 + 0 + 4 + 39 + 9 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38043990577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15896836 + ... + 15899228.

It is an arithmetic number, because the mean of its divisors is an integer number (417167496).

Almost surely, 238043990576 is an apocalyptic number.

38043990576 is a gapful number since it is divisible by the number (36) 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 38043990576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58403449440).

38043990576 is an abundant number, since it is smaller than the sum of its proper divisors (78762908304).

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

38043990576 is a wasteful number, since it uses less digits than its factorization.

38043990576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 38043990576 in words is "thirty-eight billion, forty-three million, nine hundred ninety thousand, five hundred seventy-six".