Search a number
-
+
6055601001000 = 233535233859529
BaseRepresentation
bin101100000011110110111…
…1100100101001000101000
3210102220120020122001110120
41120013231330211020220
51243203332324013000
620513523225243240
71163334303136665
oct130075574451050
923386506561416
106055601001000
111a25190994451
12819748633520
1334c06b6177a5
1416d142348a6c
15a77c03ed6a0
hex581edf25228

6055601001000 has 128 divisors (see below), whose sum is σ = 18929605219200. Its totient is φ = 1611738892800.

The previous prime is 6055601000947. The next prime is 6055601001001. The reversal of 6055601001000 is 1001065506.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6055601001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360765 + ... + 3498764.

It is an arithmetic number, because the mean of its divisors is an integer number (147887540775).

Almost surely, 26055601001000 is an apocalyptic number.

6055601001000 is a gapful number since it is divisible by the number (60) 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 6055601001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464802609600).

6055601001000 is an abundant number, since it is smaller than the sum of its proper divisors (12874004218200).

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

6055601001000 is a wasteful number, since it uses less digits than its factorization.

6055601001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860076 (or 3860062 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 6055601001000 its reverse (1001065506), we get a palindrome (6056602066506).

The spelling of 6055601001000 in words is "six trillion, fifty-five billion, six hundred one million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 523 600 750 1000 1046 1500 1569 2092 2615 3000 3138 4184 5230 6276 7845 10460 12552 13075 15690 20920 26150 31380 39225 52300 62760 65375 78450 104600 130750 156900 196125 261500 313800 392250 523000 784500 1569000 3859529 7719058 11578587 15438116 19297645 23157174 30876232 38595290 46314348 57892935 77190580 92628696 96488225 115785870 154381160 192976450 231571740 289464675 385952900 463143480 482441125 578929350 771905800 964882250 1157858700 1447323375 1929764500 2018533667 2315717400 2894646750 3859529000 4037067334 5789293500 6055601001 8074134668 10092668335 11578587000 12111202002 16148269336 20185336670 24222404004 30278005005 40370673340 48444808008 50463341675 60556010010 80741346680 100926683350 121112020020 151390025025 201853366700 242224040040 252316708375 302780050050 403706733400 504633416750 605560100100 756950125125 1009266833500 1211120200200 1513900250250 2018533667000 3027800500500 6055601001000