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14054990878656 = 263373134359719
BaseRepresentation
bin1100110010000110111010…
…1111010001011111000000
31211202122101110222000211000
43030201232233101133000
53320234110131104111
645520435040252000
72650303530201000
oct314415657213700
954678343860730
1014054990878656
114529762a35742
1216abb50011000
137ac4c29aa8c0
1436839d968000
151959089e6c56
hexcc86ebd17c0

14054990878656 has 1792 divisors, whose sum is σ = 54073958400000. Its totient is φ = 3554289414144.

The previous prime is 14054990878633. The next prime is 14054990878679. The reversal of 14054990878656 is 65687809945041.

14054990878656 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 499 + 0 + 8 + 7 + 86 + 56 = 666.

14054990878656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14054990878633) and next prime (14054990878679).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19547970265 + ... + 19547970983.

It is an arithmetic number, because the mean of its divisors is an integer number (30175200000).

Almost surely, 214054990878656 is an apocalyptic number.

14054990878656 is a gapful number since it is divisible by the number (16) 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 14054990878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27036979200000).

14054990878656 is an abundant number, since it is smaller than the sum of its proper divisors (40018967521344).

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

14054990878656 is a wasteful number, since it uses less digits than its factorization.

14054990878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 14054990878656 in words is "fourteen trillion, fifty-four billion, nine hundred ninety million, eight hundred seventy-eight thousand, six hundred fifty-six".