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4374868960 = 25573117247
BaseRepresentation
bin1000001001100001…
…10011001111100000
3102021220002100222201
410010300303033200
532424431301320
62002040342544
7213261526000
oct40460631740
912256070881
104374868960
111945554890
12a21174a54
135494a4277
142d7056000
151a912270a
hex104c333e0

4374868960 has 192 divisors, whose sum is σ = 13150771200. Its totient is φ = 1363407360.

The previous prime is 4374868951. The next prime is 4374868963. The reversal of 4374868960 is 698684734.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374868963) 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 31 ways as a sum of consecutive naturals, for example, 600057 + ... + 607303.

It is an arithmetic number, because the mean of its divisors is an integer number (68493600).

Almost surely, 24374868960 is an apocalyptic number.

4374868960 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 4374868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575385600).

4374868960 is an abundant number, since it is smaller than the sum of its proper divisors (8775902240).

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

4374868960 is a wasteful number, since it uses less digits than its factorization.

4374868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The square root of 4374868960 is about 66142.7921999064. The cubic root of 4374868960 is about 1635.5168257682.

The spelling of 4374868960 in words is "four billion, three hundred seventy-four million, eight hundred sixty-eight thousand, nine hundred sixty".