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47953438720 = 211511312443
BaseRepresentation
bin101100101010001111…
…110110100000000000
311120202221212002022221
4230222033312200000
51241202040014340
634010212340424
73315221334535
oct545217664000
9146687762287
1047953438720
11193785142a0
129363614714
1346a2a72515
14246c9d4d8c
1513a9d8644a
hexb2a3f6800

47953438720 has 288 divisors, whose sum is σ = 129992597280. Its totient is φ = 16837017600.

The previous prime is 47953438693. The next prime is 47953438759. The reversal of 47953438720 is 2783435974.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108246819 + ... + 108247261.

It is an arithmetic number, because the mean of its divisors is an integer number (451363185).

Almost surely, 247953438720 is an apocalyptic number.

47953438720 is a gapful number since it is divisible by the number (40) 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 47953438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64996298640).

47953438720 is an abundant number, since it is smaller than the sum of its proper divisors (82039158560).

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

47953438720 is a wasteful number, since it uses less digits than its factorization.

47953438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 47953438720 in words is "forty-seven billion, nine hundred fifty-three million, four hundred thirty-eight thousand, seven hundred twenty".