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4738014720 = 29325238941
BaseRepresentation
bin1000110100110100…
…00101111000000000
3110020012102002022200
410122122011320000
534200412432340
62102052033200
7225261313665
oct43232057000
913205362280
104738014720
11201153864a
12b02902800
135a67b0b0a
1432d385a6c
151cae56330
hex11a685e00

4738014720 has 240 divisors, whose sum is σ = 17124430752. Its totient is φ = 1208401920.

The previous prime is 4738014719. The next prime is 4738014763. The reversal of 4738014720 is 274108374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 525450 + ... + 534390.

Almost surely, 24738014720 is an apocalyptic number.

4738014720 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 4738014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562215376).

4738014720 is an abundant number, since it is smaller than the sum of its proper divisors (12386416032).

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

4738014720 is a wasteful number, since it uses less digits than its factorization.

4738014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4738014720 is about 68833.2384825819. The cubic root of 4738014720 is about 1679.5726804332.

The spelling of 4738014720 in words is "four billion, seven hundred thirty-eight million, fourteen thousand, seven hundred twenty".