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14066212797504 = 263372331950053
BaseRepresentation
bin1100110010110000101110…
…0111011111110001000000
31211210201100112222120111000
43030230023213133301000
53320430100434010004
645525532353052000
72651151603011400
oct314541347376100
954721315876430
1014066212797504
1145334a146743a
1216b2162257000
137b059089517a
14368b460c4800
15195d63cbec39
hexccb0b9dfc40

14066212797504 has 336 divisors, whose sum is σ = 48118872316800. Its totient is φ = 4017626790912.

The previous prime is 14066212797431. The next prime is 14066212797547. The reversal of 14066212797504 is 40579721266041.

14066212797504 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 6 + 2 + 127 + 9 + 7 + 504 = 666.

14066212797504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281001342 + ... + 281051394.

Almost surely, 214066212797504 is an apocalyptic number.

14066212797504 is a gapful number since it is divisible by the number (14) 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 14066212797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059436158400).

14066212797504 is an abundant number, since it is smaller than the sum of its proper divisors (34052659519296).

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

14066212797504 is a wasteful number, since it uses less digits than its factorization.

14066212797504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53407 (or 53384 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 14066212797504 in words is "fourteen trillion, sixty-six billion, two hundred twelve million, seven hundred ninety-seven thousand, five hundred four".