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14069748187872 = 253513157886517
BaseRepresentation
bin1100110010111101111001…
…0101111100001011100000
31211211001110221110000100000
43030233132111330023200
53321004321014002442
645531315244500000
72651335322230056
oct314573625741340
954731427400300
1014069748187872
114534a46066563
1216b298a24a600
137b0a05173130
14368d9d8561d6
15195ebe36cd4c
hexccbde57c2e0

14069748187872 has 288 divisors, whose sum is σ = 44969143276512. Its totient is φ = 4301574211584.

The previous prime is 14069748187849. The next prime is 14069748187877. The reversal of 14069748187872 is 27878184796041.

14069748187872 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 9 + 7 + 481 + 8 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 14069748187872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14069748187877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15427558 + ... + 16314074.

It is an arithmetic number, because the mean of its divisors is an integer number (156142858599).

Almost surely, 214069748187872 is an apocalyptic number.

14069748187872 is a gapful number since it is divisible by the number (12) 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 14069748187872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484571638256).

14069748187872 is an abundant number, since it is smaller than the sum of its proper divisors (30899395088640).

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

14069748187872 is a wasteful number, since it uses less digits than its factorization.

14069748187872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886712 (or 886692 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 14069748187872 in words is "fourteen trillion, sixty-nine billion, seven hundred forty-eight million, one hundred eighty-seven thousand, eight hundred seventy-two".