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4399064640 = 263452347157
BaseRepresentation
bin1000001100011010…
…00110011001000000
3102100120121122020000
410012031012121000
533002130032030
62004303120000
7214004301225
oct40615063100
912316548200
104399064640
111958180413
12a292a3000
135514c6339
142da35394c
151ab301860
hex106346640

4399064640 has 560 divisors, whose sum is σ = 16782239232. Its totient is φ = 1091211264.

The previous prime is 4399064611. The next prime is 4399064689. The reversal of 4399064640 is 464609934.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28019442 + ... + 28019598.

Almost surely, 24399064640 is an apocalyptic number.

4399064640 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 4399064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391119616).

4399064640 is an abundant number, since it is smaller than the sum of its proper divisors (12383174592).

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

4399064640 is a wasteful number, since it uses less digits than its factorization.

4399064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4399064640 is about 66325.4448910823. Note that the first 3 decimals coincide. The cubic root of 4399064640 is about 1638.5264177687.

The spelling of 4399064640 in words is "four billion, three hundred ninety-nine million, sixty-four thousand, six hundred forty".