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13354540732032 = 273220791575137
BaseRepresentation
bin1100001001010101100010…
…1010000000111010000000
31202021200101220102210222220
43002111120222000322000
53222300044411411112
644222554042531040
72545555653164433
oct302253052007200
952250356383886
1013354540732032
1142896a1100245
1215b8248806a80
1375b4351c2316
1434251296781a
151825b017298c
hexc2558a80e80

13354540732032 has 64 divisors (see below), whose sum is σ = 35474627980800. Its totient is φ = 4451309133824.

The previous prime is 13354540732031. The next prime is 13354540732073. The reversal of 13354540732032 is 23023704545331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13354540732031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7690768 + ... + 9265904.

It is an arithmetic number, because the mean of its divisors is an integer number (554291062200).

Almost surely, 213354540732032 is an apocalyptic number.

13354540732032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13354540732032 is an abundant number, since it is smaller than the sum of its proper divisors (22120087248768).

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

13354540732032 is a wasteful number, since it uses less digits than its factorization.

13354540732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597233 (or 1597221 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 13354540732032 in words is "thirteen trillion, three hundred fifty-four billion, five hundred forty million, seven hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 22079 44158 66237 88316 132474 176632 264948 353264 529896 706528 1059792 1413056 1575137 2119584 2826112 3150274 4239168 4725411 6300548 8478336 9450822 12601096 18901644 25202192 37803288 50404384 75606576 100808768 151213152 201617536 302426304 604852608 34777449823 69554899646 104332349469 139109799292 208664698938 278219598584 417329397876 556439197168 834658795752 1112878394336 1669317591504 2225756788672 3338635183008 4451513577344 6677270366016 13354540732032