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4523148000 = 253353731193
BaseRepresentation
bin1000011011001100…
…11100001011100000
3102200020002201121000
410031212130023200
533230411214000
62024454432000
7220042060260
oct41546341340
912606081530
104523148000
111a11221048
12a62962600
1357111ca47
1430ca137a0
151b7162000
hex10d99c2e0

4523148000 has 768 divisors, whose sum is σ = 19523911680. Its totient is φ = 995328000.

The previous prime is 4523147989. The next prime is 4523148001. The reversal of 4523148000 is 8413254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523148001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23435904 + ... + 23436096.

It is an arithmetic number, because the mean of its divisors is an integer number (25421760).

Almost surely, 24523148000 is an apocalyptic number.

4523148000 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 4523148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761955840).

4523148000 is an abundant number, since it is smaller than the sum of its proper divisors (15000763680).

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

4523148000 is a wasteful number, since it uses less digits than its factorization.

4523148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4523148000 is about 67254.3530189682. The cubic root of 4523148000 is about 1653.7896365981.

The spelling of 4523148000 in words is "four billion, five hundred twenty-three million, one hundred forty-eight thousand".