Search a number
-
+
2155998738024 = 2333731091254427
BaseRepresentation
bin11111010111111011100…
…010011111011001101000
321122010000020222211102000
4133113323202133121220
5240310441134104044
64330241355211000
7311523441620325
oct37277342373150
97563006884360
102155998738024
1176139909866a
122a9a1b746a60
1312840485a051
14764cac01b4c
153b138545d69
hex1f5fb89f668

2155998738024 has 128 divisors (see below), whose sum is σ = 6126626352000. Its totient is φ = 702317993472.

The previous prime is 2155998737999. The next prime is 2155998738037. The reversal of 2155998738024 is 4208378995512.

2155998738024 is a `hidden beast` number, since 2 + 1 + 5 + 599 + 8 + 7 + 38 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×21559987380242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091499 + ... + 2345925.

It is an arithmetic number, because the mean of its divisors is an integer number (47864268375).

Almost surely, 22155998738024 is an apocalyptic number.

2155998738024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155998738024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063313176000).

2155998738024 is an abundant number, since it is smaller than the sum of its proper divisors (3970627613976).

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

2155998738024 is a wasteful number, since it uses less digits than its factorization.

2155998738024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254624 (or 1254614 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2155998738024 in words is "two trillion, one hundred fifty-five billion, nine hundred ninety-eight million, seven hundred thirty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 109 146 216 218 219 292 327 436 438 584 654 657 872 876 981 1308 1314 1752 1962 1971 2616 2628 2943 3924 3942 5256 5886 7848 7884 7957 11772 15768 15914 23544 23871 31828 47742 63656 71613 95484 143226 190968 214839 286452 429678 572904 859356 1254427 1718712 2508854 3763281 5017708 7526562 10035416 11289843 15053124 22579686 30106248 33869529 45159372 67739058 90318744 91573171 135478116 136732543 183146342 270956232 273465086 274719513 366292684 410197629 546930172 549439026 732585368 820395258 824158539 1093860344 1098878052 1230592887 1640790516 1648317078 2197756104 2461185774 2472475617 3281581032 3296634156 3691778661 4922371548 4944951234 6593268312 7383557322 9844743096 9889902468 9981475639 14767114644 19779804936 19962951278 29534229288 29944426917 39925902556 59888853834 79851805112 89833280751 119777707668 179666561502 239555415336 269499842253 359333123004 538999684506 718666246008 1077999369012 2155998738024