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48991599360 = 28375113743
BaseRepresentation
bin101101101000001000…
…000111101100000000
311200110022100010000000
4231220020013230000
51300313322134420
634301220000000
73353025503124
oct555010075400
9150408303000
1048991599360
11198605317a0
1295b3230000
134809b80c62
14252a837584
15141b0a4690
hexb68207b00

48991599360 has 1152 divisors, whose sum is σ = 201773214720. Its totient is φ = 11287019520.

The previous prime is 48991599343. The next prime is 48991599361. The reversal of 48991599360 is 6399519984.

48991599360 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 1 + 599 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (48991599361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139339499 + ... + 1139339541.

It is an arithmetic number, because the mean of its divisors is an integer number (175150360).

Almost surely, 248991599360 is an apocalyptic number.

48991599360 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 48991599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100886607360).

48991599360 is an abundant number, since it is smaller than the sum of its proper divisors (152781615360).

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

48991599360 is an equidigital number, since it uses as much as digits as its factorization.

48991599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 48991599360 in words is "forty-eight billion, nine hundred ninety-one million, five hundred ninety-nine thousand, three hundred sixty".