Search a number
-
+
38701908336 = 24373131931307
BaseRepresentation
bin100100000010110100…
…000100000101110000
310200220012110122111110
4210002310010011300
51113230142031321
625440204113320
72540032536000
oct440264040560
9120805418443
1038701908336
1115460244613
127601235840
13385a1650a0
141c32026000
151017a72176
hex902d04170

38701908336 has 640 divisors, whose sum is σ = 136880128000. Its totient is φ = 9327467520.

The previous prime is 38701908313. The next prime is 38701908347. The reversal of 38701908336 is 63380910783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126064695 + ... + 126065001.

It is an arithmetic number, because the mean of its divisors is an integer number (213875200).

Almost surely, 238701908336 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 38701908336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68440064000).

38701908336 is an abundant number, since it is smaller than the sum of its proper divisors (98178219664).

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

38701908336 is a wasteful number, since it uses less digits than its factorization.

38701908336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 38701908336 in words is "thirty-eight billion, seven hundred one million, nine hundred eight thousand, three hundred thirty-six".