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5030640000 = 27335417137
BaseRepresentation
bin1001010111101100…
…10111100110000000
3110222121000222202000
410223312113212000
540300320440000
62151104024000
7235443506631
oct45366274600
913877028660
105030640000
112151735321
12b84902000
136222c8c79
1435a199888
151e69aa000
hex12bd97980

5030640000 has 640 divisors, whose sum is σ = 19788040800. Its totient is φ = 1253376000.

The previous prime is 5030639987. The next prime is 5030640007. The reversal of 5030640000 is 460305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5030640007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36719932 + ... + 36720068.

Almost surely, 25030640000 is an apocalyptic number.

5030640000 is a gapful number since it is divisible by the number (50) 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 5030640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894020400).

5030640000 is an abundant number, since it is smaller than the sum of its proper divisors (14757400800).

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

5030640000 is a wasteful number, since it uses less digits than its factorization.

5030640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5030640000 is about 70927.0047302154. The cubic root of 5030640000 is about 1713.4617468826.

The spelling of 5030640000 in words is "five billion, thirty million, six hundred forty thousand".