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38857481424 = 24329710725999
BaseRepresentation
bin100100001100000101…
…100001110011010000
310201022001012120122200
4210030011201303100
51114040003401144
625503442403200
72543632066566
oct441405416320
9121261176580
1038857481424
1115530042a13
127645360500
133883465878
141c48961a36
151026552c69
hex90c161cd0

38857481424 has 120 divisors (see below), whose sum is σ = 110899152000. Its totient is φ = 12698671104.

The previous prime is 38857481423. The next prime is 38857481447. The reversal of 38857481424 is 42418475883.

38857481424 is a `hidden beast` number, since 38 + 8 + 574 + 8 + 14 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38857481423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1481577 + ... + 1507575.

It is an arithmetic number, because the mean of its divisors is an integer number (924159600).

Almost surely, 238857481424 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 38857481424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449576000).

38857481424 is an abundant number, since it is smaller than the sum of its proper divisors (72041670576).

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

38857481424 is a wasteful number, since it uses less digits than its factorization.

38857481424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26217 (or 26208 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 38857481424 in words is "thirty-eight billion, eight hundred fifty-seven million, four hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 107 144 194 214 291 321 388 428 582 642 776 856 873 963 1164 1284 1552 1712 1746 1926 2328 2568 3492 3852 4656 5136 6984 7704 10379 13968 15408 20758 25999 31137 41516 51998 62274 77997 83032 93411 103996 124548 155994 166064 186822 207992 233991 249096 311988 373644 415984 467982 498192 623976 747288 935964 1247952 1494576 1871928 2521903 2781893 3743856 5043806 5563786 7565709 8345679 10087612 11127572 15131418 16691358 20175224 22255144 22697127 25037037 30262836 33382716 40350448 44510288 45394254 50074074 60525672 66765432 90788508 100148148 121051344 133530864 181577016 200296296 269843621 363154032 400592592 539687242 809530863 1079374484 1619061726 2158748968 2428592589 3238123452 4317497936 4857185178 6476246904 9714370356 12952493808 19428740712 38857481424