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5055450624 = 2933789587
BaseRepresentation
bin1001011010101010…
…00000111000000000
3111001022201111112000
410231111000320000
540323143404444
62153351504000
7236164423050
oct45525007000
914038644460
105055450624
112164740974
12b91088000
136274a4c03
1435d5b7560
151e8c5b469
hex12d540e00

5055450624 has 320 divisors, whose sum is σ = 17323891200. Its totient is φ = 1425752064.

The previous prime is 5055450601. The next prime is 5055450649. The reversal of 5055450624 is 4260545505.

5055450624 is a `hidden beast` number, since 50 + 5 + 545 + 0 + 62 + 4 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8612059 + ... + 8612645.

It is an arithmetic number, because the mean of its divisors is an integer number (54137160).

Almost surely, 25055450624 is an apocalyptic number.

5055450624 is a gapful number since it is divisible by the number (54) 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 5055450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661945600).

5055450624 is an abundant number, since it is smaller than the sum of its proper divisors (12268440576).

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

5055450624 is an equidigital number, since it uses as much as digits as its factorization.

5055450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5055450624 is about 71101.6921317629. The cubic root of 5055450624 is about 1716.2740038765.

The spelling of 5055450624 in words is "five billion, fifty-five million, four hundred fifty thousand, six hundred twenty-four".