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48527216640 = 21235572199
BaseRepresentation
bin101101001100011100…
…101001000000000000
311122020221112000200000
4231030130221000000
51243340431413030
634143150400000
73335356351500
oct551434510000
9148227460600
1048527216640
1119642392121
1294a3800000
1347648b9896
1424c4cb3a00
1513e0424860
hexb4c729000

48527216640 has 936 divisors, whose sum is σ = 203936241600. Its totient is φ = 11036196864.

The previous prime is 48527216629. The next prime is 48527216657. The reversal of 48527216640 is 4661272584.

48527216640 is a `hidden beast` number, since 4 + 8 + 527 + 21 + 66 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855261 + ... + 243855459.

It is an arithmetic number, because the mean of its divisors is an integer number (217880600).

Almost surely, 248527216640 is an apocalyptic number.

48527216640 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 48527216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101968120800).

48527216640 is an abundant number, since it is smaller than the sum of its proper divisors (155409024960).

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

48527216640 is an equidigital number, since it uses as much as digits as its factorization.

48527216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48527216640 in words is "forty-eight billion, five hundred twenty-seven million, two hundred sixteen thousand, six hundred forty".