Search a number
-
+
38971802688 = 2637513929
BaseRepresentation
bin100100010010111001…
…101000010001000000
310201121000022200221120
4210102321220101000
51114303240141223
625523044552240
72546520600000
oct442271502100
9121530280846
1038971802688
11155896261a5
1276776b2680
1338a1051aa0
141c59c00000
1510315d5be3
hex912e68440

38971802688 has 336 divisors, whose sum is σ = 129690449280. Its totient is φ = 10267213824.

The previous prime is 38971802657. The next prime is 38971802707. The reversal of 38971802688 is 88620817983.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41949808 + ... + 41950736.

It is an arithmetic number, because the mean of its divisors is an integer number (385983480).

Almost surely, 238971802688 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 38971802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64845224640).

38971802688 is an abundant number, since it is smaller than the sum of its proper divisors (90718646592).

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

38971802688 is an frugal number, since it uses more digits than its factorization.

38971802688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 38971802688 in words is "thirty-eight billion, nine hundred seventy-one million, eight hundred two thousand, six hundred eighty-eight".