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4694122368 = 27351321947
BaseRepresentation
bin1000101111100101…
…01001111110000000
3110010010211010100000
410113302221332000
534103143403433
62053443200000
7224216244645
oct42762517600
913103733300
104694122368
111a99789681
12ab0076000
1359a683700
143275dbdcc
151c7186113
hex117ca9f80

4694122368 has 576 divisors, whose sum is σ = 16306617600. Its totient is φ = 1339213824.

The previous prime is 4694122357. The next prime is 4694122427. The reversal of 4694122368 is 8632214964.

4694122368 is a `hidden beast` number, since 469 + 4 + 122 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

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, 99874921 + ... + 99874967.

It is an arithmetic number, because the mean of its divisors is an integer number (28310100).

Almost surely, 24694122368 is an apocalyptic number.

4694122368 is a gapful number since it is divisible by the number (48) 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 4694122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153308800).

4694122368 is an abundant number, since it is smaller than the sum of its proper divisors (11612495232).

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

4694122368 is a wasteful number, since it uses less digits than its factorization.

4694122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4694122368 is about 68513.6655565881. The cubic root of 4694122368 is about 1674.3701343644.

The spelling of 4694122368 in words is "four billion, six hundred ninety-four million, one hundred twenty-two thousand, three hundred sixty-eight".