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13247154032896 = 2872324972
BaseRepresentation
bin1100000011000101011111…
…1010010001000100000000
31201220102012221102021110201
43000301113322101010000
53214020132413023041
644101354125134544
72535034553253100
oct300612772210400
951812187367421
1013247154032896
1142480a510a813
12159b4790ba454
137512802444b4
1433b246889200
1517e8c76d6631
hexc0c57e91100

13247154032896 has 81 divisors (see below), whose sum is σ = 30760660816389. Its totient is φ = 5677177024512.

The previous prime is 13247154032891. The next prime is 13247154032939. The reversal of 13247154032896 is 69823045174231.

The square root of 13247154032896 is 3639664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10883137081600 + 2364016951296 = 3298960^2 + 1537536^2 .

It is not an unprimeable number, because it can be changed into a prime (13247154032891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 407626120 + ... + 407658616.

It is a 1-persistent number, because it is pandigital, but 2⋅13247154032896 = 26494308065792 is not.

Almost surely, 213247154032896 is an apocalyptic number.

13247154032896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13247154032896 is the 3639664-th square number.

It is an amenable number.

13247154032896 is an abundant number, since it is smaller than the sum of its proper divisors (17513506783493).

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

13247154032896 is an frugal number, since it uses more digits than its factorization.

13247154032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65024 (or 32506 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 13247154032896 in words is "thirteen trillion, two hundred forty-seven billion, one hundred fifty-four million, thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 32497 64994 129988 227479 259976 454958 519952 909916 1039904 1592353 1819832 2079808 3184706 3639664 4159616 6369412 7279328 8319232 12738824 14558656 25477648 29117312 50955296 58234624 101910592 203821184 407642368 1056055009 2112110018 4224220036 7392385063 8448440072 14784770126 16896880144 29569540252 33793760288 51746695441 59139080504 67587520576 103493390882 118278161008 135175041152 206986781764 236556322016 270350082304 413973563528 473112644032 827947127056 946225288064 1655894254112 1892450576128 3311788508224 6623577016448 13247154032896