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1132364316260 = 225374187742557
BaseRepresentation
bin10000011110100110001…
…011000011111001100100
311000020211102020101021202
4100132212023003321210
5122023040231110020
62224111225102032
7144545020606502
oct20364613037144
94006742211252
101132364316260
113a7262154901
12163562627918
1382a20c43c78
143cb41923672
151e6c6e52e75
hex107a62c3e64

1132364316260 has 96 divisors (see below), whose sum is σ = 2504712617568. Its totient is φ = 429454725120.

The previous prime is 1132364316217. The next prime is 1132364316263. The reversal of 1132364316260 is 626134632311.

It can be written as a sum of positive squares in 16 ways, for example, as 110838784 + 1132253477476 = 10528^2 + 1064074^2 .

It is not an unprimeable number, because it can be changed into a prime (1132364316263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26586902 + ... + 26629458.

It is an arithmetic number, because the mean of its divisors is an integer number (26090756433).

Almost surely, 21132364316260 is an apocalyptic number.

1132364316260 is a gapful number since it is divisible by the number (10) 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 1132364316260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252356308784).

1132364316260 is an abundant number, since it is smaller than the sum of its proper divisors (1372348301308).

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

1132364316260 is a wasteful number, since it uses less digits than its factorization.

1132364316260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43521 (or 43519 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

Adding to 1132364316260 its reverse (626134632311), we get a palindrome (1758498948571).

The spelling of 1132364316260 in words is "one trillion, one hundred thirty-two billion, three hundred sixty-four million, three hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 877 1517 1754 3034 3508 4385 6068 7585 8770 15170 17540 30340 32449 35957 42557 64898 71914 85114 129796 143828 162245 170228 179785 212785 324490 359570 425570 648980 719140 851140 1330409 1574609 1744837 2660818 3149218 3489674 5321636 6298436 6652045 6979348 7873045 8724185 13304090 15746090 17448370 26608180 31492180 34896740 37322489 64558969 74644978 129117938 149289956 186612445 258235876 322794845 373224890 645589690 746449780 1291179380 1380932093 1530222049 2761864186 3060444098 5523728372 6120888196 6904660465 7651110245 13809320930 15302220490 27618641860 30604440980 56618215813 113236431626 226472863252 283091079065 566182158130 1132364316260