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4063917312 = 28337213271
BaseRepresentation
bin1111001000111010…
…0111010100000000
3101111012222101112000
43302032213110000
531310330323222
61511131504000
7202464504300
oct36216472400
911435871460
104063917312
1117a5a80254
12954bb8000
134c9c40700
142a7a31600
1518bb9d9ac
hexf23a7500

4063917312 has 648 divisors, whose sum is σ = 15351094080. Its totient is φ = 1056706560.

The previous prime is 4063917301. The next prime is 4063917329. The reversal of 4063917312 is 2137193604.

4063917312 is a `hidden beast` number, since 4 + 0 + 639 + 1 + 7 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57238237 + ... + 57238307.

It is an arithmetic number, because the mean of its divisors is an integer number (23689960).

Almost surely, 24063917312 is an apocalyptic number.

4063917312 is a gapful number since it is divisible by the number (42) 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 4063917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675547040).

4063917312 is an abundant number, since it is smaller than the sum of its proper divisors (11287176768).

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

4063917312 is a wasteful number, since it uses less digits than its factorization.

4063917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4063917312 is about 63748.8612604178. The cubic root of 4063917312 is about 1595.8116121131.

The spelling of 4063917312 in words is "four billion, sixty-three million, nine hundred seventeen thousand, three hundred twelve".