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4316016540 = 223511311931093
BaseRepresentation
bin1000000010100000…
…10010111110011100
3102010210100100122110
410001100102332130
532314400012130
61552135114020
7211645351413
oct40120227634
912123310573
104316016540
111915308120
12a05512910
1353a239754
142cd2d647a
151a3d99ab0
hex101412f9c

4316016540 has 192 divisors, whose sum is σ = 13691768832. Its totient is φ = 1006387200.

The previous prime is 4316016503. The next prime is 4316016547. The reversal of 4316016540 is 456106134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4316016498 and 4316016507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316016547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3948234 + ... + 3949326.

It is an arithmetic number, because the mean of its divisors is an integer number (71311296).

Almost surely, 24316016540 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 4316016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845884416).

4316016540 is an abundant number, since it is smaller than the sum of its proper divisors (9375752292).

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

4316016540 is a wasteful number, since it uses less digits than its factorization.

4316016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4316016540 is about 65696.3967048422. The cubic root of 4316016540 is about 1628.1498246246.

The spelling of 4316016540 in words is "four billion, three hundred sixteen million, sixteen thousand, five hundred forty".