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47428089408 = 2634721931317
BaseRepresentation
bin101100001010111011…
…110011011001000000
311112102100022120120000
4230022323303121000
51234113042330113
633442124320000
73266212052100
oct541273633100
9145370276500
1047428089408
1119128a13607
1292376a3000
13461ac8323b
14241cd21200
151378bb2373
hexb0aef3640

47428089408 has 840 divisors, whose sum is σ = 178267034880. Its totient is φ = 12384368640.

The previous prime is 47428089391. The next prime is 47428089419. The reversal of 47428089408 is 80498082474.

47428089408 is a `hidden beast` number, since 47 + 42 + 80 + 89 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149615266 + ... + 149615582.

Almost surely, 247428089408 is an apocalyptic number.

47428089408 is a gapful number since it is divisible by the number (48) 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 47428089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89133517440).

47428089408 is an abundant number, since it is smaller than the sum of its proper divisors (130838945472).

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

47428089408 is a wasteful number, since it uses less digits than its factorization.

47428089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 47428089408 in words is "forty-seven billion, four hundred twenty-eight million, eighty-nine thousand, four hundred eight".