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4066317024 = 2537114113417
BaseRepresentation
bin1111001001011111…
…0001001011100000
3101111101111022022020
43302113301023200
531311434121044
61511255141440
7202524060450
oct36227611340
911441438266
104066317024
1117a736a190
12955974880
134ca5a0a63
142a8097d60
1518bec4a19
hexf25f12e0

4066317024 has 192 divisors, whose sum is σ = 13633546752. Its totient is φ = 1030348800.

The previous prime is 4066316987. The next prime is 4066317043. The reversal of 4066317024 is 4207136604.

It is a happy number.

4066317024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296364 + ... + 309780.

It is an arithmetic number, because the mean of its divisors is an integer number (71008056).

Almost surely, 24066317024 is an apocalyptic number.

4066317024 is a gapful number since it is divisible by the number (44) 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 4066317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816773376).

4066317024 is an abundant number, since it is smaller than the sum of its proper divisors (9567229728).

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

4066317024 is a wasteful number, since it uses less digits than its factorization.

4066317024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13489 (or 13481 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4066317024 is about 63767.6800895250. The cubic root of 4066317024 is about 1596.1256551465.

The spelling of 4066317024 in words is "four billion, sixty-six million, three hundred seventeen thousand, twenty-four".