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5003878950 = 2335271929312
BaseRepresentation
bin1001010100100000…
…10010001000100110
3110220201200101111000
410222100102020212
540221443111300
62144310254130
7235000161240
oct45220221046
913821611430
105003878950
112138617354
12b77957346
136198b9325
143567d1090
151e4470c00
hex12a412226

5003878950 has 576 divisors, whose sum is σ = 17731008000. Its totient is φ = 1012435200.

The previous prime is 5003878897. The next prime is 5003878961. The reversal of 5003878950 is 598783005.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5003878896 and 5003878905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161415435 + ... + 161415465.

It is an arithmetic number, because the mean of its divisors is an integer number (30783000).

Almost surely, 25003878950 is an apocalyptic number.

5003878950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003878950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8865504000).

5003878950 is an abundant number, since it is smaller than the sum of its proper divisors (12727129050).

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

5003878950 is a wasteful number, since it uses less digits than its factorization.

5003878950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5003878950 is about 70738.1011195523. The cubic root of 5003878950 is about 1710.4180264559.

The spelling of 5003878950 in words is "five billion, three million, eight hundred seventy-eight thousand, nine hundred fifty".