Search a number
-
+
38884644540 = 2234573428981
BaseRepresentation
bin100100001101101101…
…001001011010111100
310201100221022121110000
4210031231021122330
51114113432111130
625510252514300
72544412011420
oct441555113274
9121327277400
1038884644540
1115544405a75
12765247b990
133888c86511
141c4c3d2b80
151028b1b260
hex90db496bc

38884644540 has 120 divisors (see below), whose sum is σ = 139408692192. Its totient is φ = 8887916160.

The previous prime is 38884644517. The next prime is 38884644571. The reversal of 38884644540 is 4544648883.

It is a happy number.

38884644540 is a `hidden beast` number, since 3 + 88 + 84 + 6 + 445 + 40 = 666.

38884644540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1703151 + ... + 1725830.

Almost surely, 238884644540 is an apocalyptic number.

38884644540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38884644540 is an abundant number, since it is smaller than the sum of its proper divisors (100524047652).

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

38884644540 is a wasteful number, since it uses less digits than its factorization.

38884644540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429009 (or 3428998 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 38884644540 in words is "thirty-eight billion, eight hundred eighty-four million, six hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 3428981 6857962 10286943 13715924 17144905 20573886 24002867 30860829 34289810 41147772 48005734 51434715 61721658 68579620 72008601 92582487 96011468 102869430 120014335 123443316 144017202 154304145 185164974 205738860 216025803 240028670 277747461 288034404 308608290 360043005 370329948 432051606 462912435 480057340 555494922 617216580 648077409 720086010 864103212 925824870 1080129015 1110989844 1296154818 1388737305 1440172020 1851649740 1944232227 2160258030 2592309636 2777474610 3240387045 3888464454 4320516060 5554949220 6480774090 7776928908 9721161135 12961548180 19442322270 38884644540