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47752320000 = 2103547111719
BaseRepresentation
bin101100011110010000…
…101001010000000000
311120020221102012022110
4230132100221100000
51240244043220000
633534225535320
73310230010560
oct543620512000
9146227365273
1047752320000
1119284a37880
1293081a4540
1346701b5c68
142450000da0
1513973aa850
hexb1e429400

47752320000 has 1760 divisors, whose sum is σ = 221005255680. Its totient is φ = 8847360000.

The previous prime is 47752319999. The next prime is 47752320001. The reversal of 47752320000 is 2325774.

It is an interprime number because it is at equal distance from previous prime (47752319999) and next prime (47752320001).

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 47752320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47752320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2513279991 + ... + 2513280009.

It is an arithmetic number, because the mean of its divisors is an integer number (125571168).

Almost surely, 247752320000 is an apocalyptic number.

47752320000 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 47752320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110502627840).

47752320000 is an abundant number, since it is smaller than the sum of its proper divisors (173252935680).

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

47752320000 is a wasteful number, since it uses less digits than its factorization.

47752320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

Adding to 47752320000 its reverse (2325774), we get a palindrome (47754645774).

The spelling of 47752320000 in words is "forty-seven billion, seven hundred fifty-two million, three hundred twenty thousand".