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13896594144 = 253343374047
BaseRepresentation
bin11001111000100110…
…10011001011100000
31022212110220010102000
430330103103023200
5211430012003034
610214540124000
71001241046506
oct147423231340
938773803360
1013896594144
1159912a0954
122839b36600
131406075094
1495b87a676
15565009599
hex33c4d32e0

13896594144 has 96 divisors (see below), whose sum is σ = 41474442240. Its totient is φ = 4524460416.

The previous prime is 13896594007. The next prime is 13896594163. The reversal of 13896594144 is 44149569831.

13896594144 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 6 + 594 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149872 + ... + 224175.

It is an arithmetic number, because the mean of its divisors is an integer number (432025440).

Almost surely, 213896594144 is an apocalyptic number.

It is an amenable number.

13896594144 is an abundant number, since it is smaller than the sum of its proper divisors (27577848096).

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

13896594144 is a wasteful number, since it uses less digits than its factorization.

13896594144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374109 (or 374095 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13896594144 in words is "thirteen billion, eight hundred ninety-six million, five hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 374047 748094 1122141 1496188 2244282 2992376 3366423 4488564 5984752 6732846 8977128 10099269 11969504 13465692 16084021 17954256 20198538 26931384 32168042 35908512 40397076 48252063 53862768 64336084 80794152 96504126 107725536 128672168 144756189 161588304 193008252 257344336 289512378 323176608 386016504 434268567 514688672 579024756 772033008 868537134 1158049512 1544066016 1737074268 2316099024 3474148536 4632198048 6948297072 13896594144