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13643465472000 = 2113353713109199
BaseRepresentation
bin1100011010001001110111…
…1010011011100000000000
31210022022011120022100011000
43012202131322123200000
53242013304130101000
645003415502452000
72605464536022210
oct306423572334000
953268146270130
1013643465472000
114390185635781
121644240b94000
1377c75b635810
143524c0c08240
15189d70378000
hexc689de9b800

13643465472000 has 3072 divisors, whose sum is σ = 62962099200000. Its totient is φ = 2837879193600.

The previous prime is 13643465471953. The next prime is 13643465472019. The reversal of 13643465472000 is 27456434631.

13643465472000 is a `hidden beast` number, since 1 + 3 + 6 + 43 + 46 + 547 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×136434654720004 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 68560127901 + ... + 68560128099.

It is an arithmetic number, because the mean of its divisors is an integer number (20495475000).

Almost surely, 213643465472000 is an apocalyptic number.

13643465472000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13643465472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31481049600000).

13643465472000 is an abundant number, since it is smaller than the sum of its proper divisors (49318633728000).

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

13643465472000 is a wasteful number, since it uses less digits than its factorization.

13643465472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 13643465472000 in words is "thirteen trillion, six hundred forty-three billion, four hundred sixty-five million, four hundred seventy-two thousand".