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48515034205440 = 2833511235548583
BaseRepresentation
bin10110000011111110010010…
…11000010100110100000000
320100202222210011000220011000
423001333021120110310000
522324332242224033230
6251103255442452000
713135044526424235
oct1301771130246400
9210688704026130
1048515034205440
111450512402a880
125536656964000
13210bc42c7092a
14bda1d694778c
15591ec25d4b60
hex2c1fc9614d00

48515034205440 has 576 divisors, whose sum is σ = 195977762426880. Its totient is φ = 11249860976640.

The previous prime is 48515034205433. The next prime is 48515034205441. The reversal of 48515034205440 is 4450243051584.

48515034205440 is a `hidden beast` number, since 4 + 8 + 5 + 1 + 50 + 34 + 20 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48515034205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5969389 + ... + 11517971.

It is an arithmetic number, because the mean of its divisors is an integer number (340239170880).

Almost surely, 248515034205440 is an apocalyptic number.

48515034205440 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 48515034205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97988881213440).

48515034205440 is an abundant number, since it is smaller than the sum of its proper divisors (147462728221440).

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

48515034205440 is a wasteful number, since it uses less digits than its factorization.

48515034205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548647 (or 5548627 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 48515034205440 in words is "forty-eight trillion, five hundred fifteen billion, thirty-four million, two hundred five thousand, four hundred forty".