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4255727616000 = 2173253721931
BaseRepresentation
bin111101111011011101001…
…000100000000000000000
3120001211202222022121010100
4331323131020200000000
51024211212232203000
613015015420202400
7616315616610600
oct75733510400000
916054688277110
104255727616000
1113a0931324563
12588956699400
1324b40c6a4403
14109d9a6d8c00
1575a7ba55a00
hex3dedd220000

4255727616000 has 2592 divisors, whose sum is σ = 19393716625920. Its totient is φ = 891813888000.

The previous prime is 4255727615999. The next prime is 4255727616001. The reversal of 4255727616000 is 6167275524.

4255727616000 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 7 + 27 + 616 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4255727615999) and next prime (4255727616001).

It is a super-2 number, since 2×42557276160002 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4255727616001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137281535985 + ... + 137281536015.

It is an arithmetic number, because the mean of its divisors is an integer number (7482143760).

Almost surely, 24255727616000 is an apocalyptic number.

4255727616000 is a gapful number since it is divisible by the number (40) 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 4255727616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696858312960).

4255727616000 is an abundant number, since it is smaller than the sum of its proper divisors (15137989009920).

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

4255727616000 is an equidigital number, since it uses as much as digits as its factorization.

4255727616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 4255727616000 in words is "four trillion, two hundred fifty-five billion, seven hundred twenty-seven million, six hundred sixteen thousand".