Search a number
-
+
38669809200 = 243521143171
BaseRepresentation
bin100100000000111001…
…100111011000110000
310200210222001211202120
4210000321213120300
51113143432343300
625433100114240
72536162645341
oct440071473060
9120728054676
1038669809200
1115444110000
1275b2535980
133853606809
141c2ba6c0c8
151014d313a0
hex900e67630

38669809200 has 600 divisors, whose sum is σ = 142635156480. Its totient is φ = 8944320000.

The previous prime is 38669809193. The next prime is 38669809201. The reversal of 38669809200 is 290896683.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (38669809201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 544645165 + ... + 544645235.

Almost surely, 238669809200 is an apocalyptic number.

38669809200 is a gapful number since it is divisible by the number (30) 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 38669809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71317578240).

38669809200 is an abundant number, since it is smaller than the sum of its proper divisors (103965347280).

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

38669809200 is a wasteful number, since it uses less digits than its factorization.

38669809200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 38669809200 in words is "thirty-eight billion, six hundred sixty-nine million, eight hundred nine thousand, two hundred".