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14074852896 = 2534131992099
BaseRepresentation
bin11010001101110110…
…10011011000100000
31100022220022121110000
431012323103120200
5212311130243041
610244344540000
71005534163356
oct150673233040
940286277400
1014074852896
115a72984335
122889781600
131433c89530
149773dd7d6
155759bbbb6
hex346ed3620

14074852896 has 240 divisors, whose sum is σ = 44823240000. Its totient is φ = 4306908672.

The previous prime is 14074852817. The next prime is 14074852901. The reversal of 14074852896 is 69825847041.

It is a happy number.

14074852896 is a `hidden beast` number, since 1 + 40 + 74 + 8 + 528 + 9 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 6704455 + ... + 6706553.

It is an arithmetic number, because the mean of its divisors is an integer number (186763500).

Almost surely, 214074852896 is an apocalyptic number.

14074852896 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 14074852896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411620000).

14074852896 is an abundant number, since it is smaller than the sum of its proper divisors (30748387104).

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

14074852896 is a wasteful number, since it uses less digits than its factorization.

14074852896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14074852896 in words is "fourteen billion, seventy-four million, eight hundred fifty-two thousand, eight hundred ninety-six".