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1132320516416 = 261031447118709
BaseRepresentation
bin10000011110100011100…
…011111110100101000000
311000020201100211010012022
4100132203203332211000
5122022443023011131
62224103022221012
7144543646404245
oct20364343764500
94006640733168
101132320516416
113a723a459391
1216354ba24768
1382a14b499bb
143cb39ba15cc
151e6c31a037b
hex107a38fe940

1132320516416 has 56 divisors (see below), whose sum is σ = 2270350592640. Its totient is φ = 560271370752.

The previous prime is 1132320516409. The next prime is 1132320516427. The reversal of 1132320516416 is 6146150232311.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9479270 + ... + 9597978.

Almost surely, 21132320516416 is an apocalyptic number.

1132320516416 is a gapful number since it is divisible by the number (16) 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 1132320516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135175296320).

1132320516416 is an abundant number, since it is smaller than the sum of its proper divisors (1138030076224).

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

1132320516416 is a wasteful number, since it uses less digits than its factorization.

1132320516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120271 (or 120261 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 1132320516416 its reverse (6146150232311), we get a palindrome (7278470748727).

The spelling of 1132320516416 in words is "one trillion, one hundred thirty-two billion, three hundred twenty million, five hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 103 206 412 824 1447 1648 2894 3296 5788 6592 11576 23152 46304 92608 118709 149041 237418 298082 474836 596164 949672 1192328 1899344 2384656 3798688 4769312 7597376 9538624 12227027 24454054 48908108 97816216 171771923 195632432 343543846 391264864 687087692 782529728 1374175384 2748350768 5496701536 10993403072 17692508069 35385016138 70770032276 141540064552 283080129104 566160258208 1132320516416