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13455072016 = 244726172
BaseRepresentation
bin11001000011111110…
…00001101100010000
31021201201002110220121
430201333001230100
5210023444301031
610103044520024
7654300140131
oct144177015420
937651073817
1013455072016
115785045831
1227360b0014
131365756199
14918d87c88
1553b393011
hex321fc1b10

13455072016 has 45 divisors (see below), whose sum is σ = 26678906869. Its totient is φ = 6573725312.

The previous prime is 13455071951. The next prime is 13455072019. The reversal of 13455072016 is 61027055431.

The square root of 13455072016 is 115996.

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., 389667600 + 13065404416 = 19740^2 + 114304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13455072019) 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, 21806940 + ... + 21807556.

Almost surely, 213455072016 is an apocalyptic number.

13455072016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13455072016 is the 115996-th square number.

It is an amenable number.

13455072016 is a deficient number, since it is larger than the sum of its proper divisors (13223834853).

13455072016 is an frugal number, since it uses more digits than its factorization.

13455072016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 13455072016 in words is "thirteen billion, four hundred fifty-five million, seventy-two thousand, sixteen".

Divisors: 1 2 4 8 16 47 94 188 376 617 752 1234 2209 2468 4418 4936 8836 9872 17672 28999 35344 57998 115996 231992 380689 463984 761378 1362953 1522756 2725906 3045512 5451812 6091024 10903624 17892383 21807248 35784766 71569532 143139064 286278128 840942001 1681884002 3363768004 6727536008 13455072016