Search a number
-
+
38989708824 = 23311838919993
BaseRepresentation
bin100100010011111101…
…111011111000011000
310201122021000102112210
4210103331323320120
51114322331140244
625524524435120
72550126025323
oct442375737030
9121567012483
1038989708824
1115598746360
1276816a8aa0
1338a4981131
141c5c3417ba
151032e714b9
hex913f7be18

38989708824 has 128 divisors (see below), whose sum is σ = 108831340800. Its totient is φ = 11540981760.

The previous prime is 38989708819. The next prime is 38989708829. The reversal of 38989708824 is 42880798983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38989708819) and next prime (38989708829).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38989708829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1940172 + ... + 1960164.

It is an arithmetic number, because the mean of its divisors is an integer number (850244850).

Almost surely, 238989708824 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 38989708824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54415670400).

38989708824 is an abundant number, since it is smaller than the sum of its proper divisors (69841631976).

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

38989708824 is a wasteful number, since it uses less digits than its factorization.

38989708824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20185 (or 20181 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 38989708824 in words is "thirty-eight billion, nine hundred eighty-nine million, seven hundred eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 89 132 166 178 249 264 267 332 356 498 534 664 712 913 979 996 1068 1826 1958 1992 2136 2739 2937 3652 3916 5478 5874 7304 7387 7832 10956 11748 14774 19993 21912 22161 23496 29548 39986 44322 59096 59979 79972 81257 88644 119958 159944 162514 177288 219923 239916 243771 325028 439846 479832 487542 650056 659769 879692 975084 1319538 1659419 1759384 1779377 1950168 2639076 3318838 3558754 4978257 5278152 5338131 6637676 7117508 9956514 10676262 13275352 14235016 18253609 19573147 19913028 21352524 36507218 39146294 39826056 42705048 54760827 58719441 73014436 78292588 109521654 117438882 146028872 147688291 156585176 219043308 234877764 295376582 438086616 443064873 469755528 590753164 886129746 1181506328 1624571201 1772259492 3249142402 3544518984 4873713603 6498284804 9747427206 12996569608 19494854412 38989708824