Search a number
-
+
38119347904 = 2611317173337
BaseRepresentation
bin100011100000000101…
…110001011011000000
310122101121021111211011
4203200011301123000
51111032023113104
625302313530304
72516430053041
oct434005613300
9118347244734
1038119347904
1115191418310
12747a113994
133796564381
141bb88dc8c8
15ed184b904
hex8e01716c0

38119347904 has 224 divisors, whose sum is σ = 87824535552. Its totient is φ = 16257024000.

The previous prime is 38119347901. The next prime is 38119347967. The reversal of 38119347904 is 40974391183.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38119347901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113113624 + ... + 113113960.

Almost surely, 238119347904 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 38119347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43912267776).

38119347904 is an abundant number, since it is smaller than the sum of its proper divisors (49705187648).

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

38119347904 is a wasteful number, since it uses less digits than its factorization.

38119347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 38119347904 in words is "thirty-eight billion, one hundred nineteen million, three hundred forty-seven thousand, nine hundred four".