Search a number
-
+
5055671206768 = 2471322391550827
BaseRepresentation
bin100100110010001110101…
…1111001000001101110000
3122220022120102022110012011
41021210131133020031300
51130313003312104033
614430313203412304
71031155150132330
oct111443537101560
918808512273164
105055671206768
11167a109660156
126979a6084094
132a8994a60330
141369a53790c0
158b799e03ccd
hex4991d7c8370

5055671206768 has 80 divisors (see below), whose sum is σ = 12061223587840. Its totient is φ = 1999151186688.

The previous prime is 5055671206763. The next prime is 5055671206771. The reversal of 5055671206768 is 8676021765505.

It is a super-2 number, since 2×50556712067682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055671206763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484571 + ... + 4035397.

It is an arithmetic number, because the mean of its divisors is an integer number (150765294848).

Almost surely, 25055671206768 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 5055671206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030611793920).

5055671206768 is an abundant number, since it is smaller than the sum of its proper divisors (7005552381072).

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

5055671206768 is a wasteful number, since it uses less digits than its factorization.

5055671206768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553094 (or 1553088 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 58.

The spelling of 5055671206768 in words is "five trillion, fifty-five billion, six hundred seventy-one million, two hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2239 4478 8956 15673 17912 29107 31346 35824 58214 62692 116428 125384 203749 232856 250768 407498 465712 814996 1550827 1629992 3101654 3259984 6203308 10855789 12406616 20160751 21711578 24813232 40321502 43423156 80643004 86846312 141125257 161286008 173692624 282250514 322572016 564501028 1129002056 2258004112 3472301653 6944603306 13889206612 24306111571 27778413224 45139921489 48612223142 55556826448 90279842978 97224446284 180559685956 194448892568 315979450423 361119371912 388897785136 631958900846 722238743824 1263917801692 2527835603384 5055671206768