Search a number
-
+
38468380074840 = 23325544319631933
BaseRepresentation
bin10001011111100100111100…
…01000010010001101011000
312001012112121112211020122200
420233302132020102031120
520020231220244343330
6213452044013450200
711050151214351312
oct1057623610221530
9161175545736580
1038468380074840
1111291391757a31
12439351a7a0960
1318607252c7c91
1496dc456047b2
1546a9b6910a60
hex22fc9e212358

38468380074840 has 96 divisors (see below), whose sum is σ = 125045210974320. Its totient is φ = 10256349498624.

The previous prime is 38468380074833. The next prime is 38468380074841. The reversal of 38468380074840 is 4847008386483.

38468380074840 is a `hidden beast` number, since 38 + 46 + 8 + 3 + 80 + 0 + 7 + 484 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38468380074841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7856487 + ... + 11775446.

Almost surely, 238468380074840 is an apocalyptic number.

38468380074840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38468380074840 is an abundant number, since it is smaller than the sum of its proper divisors (86576830899480).

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

38468380074840 is a wasteful number, since it uses less digits than its factorization.

38468380074840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19637393 (or 19637386 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 38468380074840 in words is "thirty-eight trillion, four hundred sixty-eight billion, three hundred eighty million, seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5443 10886 16329 21772 27215 32658 43544 48987 54430 65316 81645 97974 108860 130632 163290 195948 217720 244935 326580 391896 489870 653160 979740 1959480 19631933 39263866 58895799 78527732 98159665 117791598 157055464 176687397 196319330 235583196 294478995 353374794 392638660 471166392 588957990 706749588 785277320 883436985 1177915980 1413499176 1766873970 2355831960 3533747940 7067495880 106856611319 213713222638 320569833957 427426445276 534283056595 641139667914 854852890552 961709501871 1068566113190 1282279335828 1602849169785 1923419003742 2137132226380 2564558671656 3205698339570 3846838007484 4274264452760 4808547509355 6411396679140 7693676014968 9617095018710 12822793358280 19234190037420 38468380074840