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5049554400 = 25325211103619
BaseRepresentation
bin1001011001111101…
…00001010111100000
3111000220121221102100
410230332201113200
540320141220100
62153021250400
7236063334642
oct45476412740
914026557370
105049554400
112161383a60
12b8b103a00
136261bc217
1435c8c0892
151e8494400
hex12cfa15e0

5049554400 has 432 divisors, whose sum is σ = 19644992640. Its totient is φ = 1210291200.

The previous prime is 5049554359. The next prime is 5049554401. The reversal of 5049554400 is 44559405.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5049554401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8157291 + ... + 8157909.

It is an arithmetic number, because the mean of its divisors is an integer number (45474520).

Almost surely, 25049554400 is an apocalyptic number.

5049554400 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 5049554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822496320).

5049554400 is an abundant number, since it is smaller than the sum of its proper divisors (14595438240).

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

5049554400 is a wasteful number, since it uses less digits than its factorization.

5049554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5049554400 is about 71060.2167179358. The cubic root of 5049554400 is about 1715.6065083060.

The spelling of 5049554400 in words is "five billion, forty-nine million, five hundred fifty-four thousand, four hundred".