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6066460442200 = 2352434611530157
BaseRepresentation
bin101100001000111010100…
…1110000011111001011000
3210110221121001120211021111
41120101311032003321120
51243343102333122300
620522520552550104
71164200354644264
oct130216516037130
923427531524244
106066460442200
111a29853849344
1281b8793b2334
133500ac39a642
1416d8926ab0a4
15a7c089759ba
hex58475383e58

6066460442200 has 96 divisors (see below), whose sum is σ = 14463849098160. Its totient is φ = 2365009113600.

The previous prime is 6066460442191. The next prime is 6066460442209. The reversal of 6066460442200 is 22440646606.

It is an interprime number because it is at equal distance from previous prime (6066460442191) and next prime (6066460442209).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066460442209) 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, 3199522 + ... + 4729678.

Almost surely, 26066460442200 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 6066460442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231924549080).

6066460442200 is an abundant number, since it is smaller than the sum of its proper divisors (8397388655960).

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

6066460442200 is a wasteful number, since it uses less digits than its factorization.

6066460442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530677 (or 1530668 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 6066460442200 in words is "six trillion, sixty-six billion, four hundred sixty million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 461 860 922 1075 1720 1844 2150 2305 3688 4300 4610 8600 9220 11525 18440 19823 23050 39646 46100 79292 92200 99115 158584 198230 396460 495575 792920 991150 1530157 1982300 3060314 3964600 6120628 7650785 12241256 15301570 30603140 38253925 61206280 65796751 76507850 131593502 153015700 263187004 306031400 328983755 526374008 657967510 705402377 1315935020 1410804754 1644918775 2631870040 2821609508 3289837550 3527011885 5643219016 6579675100 7054023770 13159350200 14108047540 17635059425 28216095080 30332302211 35270118850 60664604422 70540237700 121329208844 141080475400 151661511055 242658417688 303323022110 606646044220 758307555275 1213292088440 1516615110550 3033230221100 6066460442200