Search a number
-
+
38742962480 = 2451733837309
BaseRepresentation
bin100100000101010000…
…101011000100110000
310201000001201102012022
4210011100223010300
51113321144244410
625444232051012
72541041514245
oct440520530460
9121001642168
1038742962480
1115481435162
127612b33a68
13386580a691
141c376715cc
15101b481455
hex90542b130

38742962480 has 80 divisors (see below), whose sum is σ = 90847042560. Its totient is φ = 15365274624.

The previous prime is 38742962471. The next prime is 38742962509. The reversal of 38742962480 is 8426924783.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5297066 + ... + 5304374.

It is an arithmetic number, because the mean of its divisors is an integer number (1135588032).

Almost surely, 238742962480 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 38742962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45423521280).

38742962480 is an abundant number, since it is smaller than the sum of its proper divisors (52104080080).

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

38742962480 is a wasteful number, since it uses less digits than its factorization.

38742962480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 38742962480 in words is "thirty-eight billion, seven hundred forty-two million, nine hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 383 692 766 865 1384 1532 1730 1915 2768 3064 3460 3830 6128 6920 7309 7660 13840 14618 15320 29236 30640 36545 58472 66259 73090 116944 132518 146180 265036 292360 331295 530072 584720 662590 1060144 1264457 1325180 2528914 2650360 2799347 5057828 5300720 5598694 6322285 10115656 11197388 12644570 13996735 20231312 22394776 25289140 27993470 44789552 50578280 55986940 101156560 111973880 223947760 484287031 968574062 1937148124 2421435155 3874296248 4842870310 7748592496 9685740620 19371481240 38742962480