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4216893696 = 2835531279
BaseRepresentation
bin1111101101011000…
…1011000100000000
3101212212211101200000
43323112023010000
532114011044241
61534234400000
7206333001501
oct37326130400
911785741600
104216893696
111874365714
12998290000
13522842292
142c0092ba8
1519a319eb6
hexfb58b100

4216893696 has 216 divisors, whose sum is σ = 12856596480. Its totient is φ = 1378031616.

The previous prime is 4216893677. The next prime is 4216893701. The reversal of 4216893696 is 6963986124.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3296385 + ... + 3297663.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 24216893696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

4216893696 is an abundant number, since it is smaller than the sum of its proper divisors (8639702784).

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

4216893696 is an equidigital number, since it uses as much as digits as its factorization.

4216893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1337 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4216893696 is about 64937.6138767048. The cubic root of 4216893696 is about 1615.5889880451.

The spelling of 4216893696 in words is "four billion, two hundred sixteen million, eight hundred ninety-three thousand, six hundred ninety-six".