Search a number
-
+
8172401664 = 21037380041
BaseRepresentation
bin1111001110001110…
…01111010000000000
3210002112211000112010
413213013033100000
5113214113323124
63430534532520
7406343160630
oct74707172000
923075730463
108172401664
113514120369
121700b07140
13a0318663b
145775446c0
1532c702529
hex1e71cf400

8172401664 has 88 divisors (see below), whose sum is σ = 24894271168. Its totient is φ = 2334965760.

The previous prime is 8172401663. The next prime is 8172401683. The reversal of 8172401664 is 4661042718.

It is a super-3 number, since 3×81724016643 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172401663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168517 + ... + 211524.

Almost surely, 28172401664 is an apocalyptic number.

8172401664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8172401664 is an abundant number, since it is smaller than the sum of its proper divisors (16721869504).

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

8172401664 is a wasteful number, since it uses less digits than its factorization.

8172401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380071 (or 380053 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8172401664 is about 90401.3366272867. The cubic root of 8172401664 is about 2014.2648208860.

The spelling of 8172401664 in words is "eight billion, one hundred seventy-two million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 380041 760082 1140123 1520164 2280246 2660287 3040328 4560492 5320574 6080656 7980861 9120984 10641148 12161312 15961722 18241968 21282296 24322624 31923444 36483936 42564592 48645248 63846888 72967872 85129184 97290496 127693776 145935744 170258368 194580992 255387552 291871488 340516736 389161984 510775104 583742976 681033472 1021550208 1167485952 1362066944 2043100416 2724133888 4086200832 8172401664