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2325772073768 = 2311213397465541
BaseRepresentation
bin100001110110000010110…
…100010111101100101000
322020100020001110212121212
4201312002310113230220
5301101140122330033
64540240035052252
7330013541304623
oct41660264275450
98210201425555
102325772073768
11817399780600
12316900441088
1313b41c852270
14807d4714dba
154077301b748
hex21d82d17b28

2325772073768 has 96 divisors (see below), whose sum is σ = 5175030047880. Its totient is φ = 973388275200.

The previous prime is 2325772073753. The next prime is 2325772073771. The reversal of 2325772073768 is 8673702775232.

It can be written as a sum of positive squares in 4 ways, for example, as 2124370380484 + 201401693284 = 1457522^2 + 448778^2 .

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 23 ways as a sum of consecutive naturals, for example, 4763078 + ... + 5228618.

Almost surely, 22325772073768 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 2325772073768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587515023940).

2325772073768 is an abundant number, since it is smaller than the sum of its proper divisors (2849257974112).

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

2325772073768 is a wasteful number, since it uses less digits than its factorization.

2325772073768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465979 (or 465964 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 59.

The spelling of 2325772073768 in words is "two trillion, three hundred twenty-five billion, seven hundred seventy-two million, seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 397 484 572 794 968 1144 1573 1588 3146 3176 4367 5161 6292 8734 10322 12584 17468 20644 34936 41288 48037 56771 96074 113542 192148 227084 384296 454168 465541 624481 931082 1248962 1862164 2497924 3724328 4995848 5120951 6052033 10241902 12104066 20483804 24208132 40967608 48416264 56330461 66572363 112660922 133144726 184819777 225321844 266289452 369639554 450643688 532578904 732295993 739279108 1464591986 1478558216 2033017547 2402657101 2929183972 4066035094 4805314202 5858367944 8132070188 9610628404 16264140376 19221256808 22363193017 26429228111 44726386034 52858456222 89452772068 105716912444 178905544136 211433824888 290721509221 581443018442 1162886036884 2325772073768