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48461783040 = 21332511171937
BaseRepresentation
bin101101001000100011…
…000010000000000000
311122002101101122122100
4231020203002000000
51243222204024130
634132452110400
73333633234126
oct551043020000
9148071348570
1048461783040
111960945a970
129485905400
134754189688
1424ba31d916
1513d97ebc60
hexb488c2000

48461783040 has 1344 divisors, whose sum is σ = 209775795840. Its totient is φ = 10192158720.

The previous prime is 48461783033. The next prime is 48461783053. The reversal of 48461783040 is 4038716484.

48461783040 is a `hidden beast` number, since 484 + 61 + 78 + 3 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 1309777902 + ... + 1309777938.

Almost surely, 248461783040 is an apocalyptic number.

48461783040 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 48461783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104887897920).

48461783040 is an abundant number, since it is smaller than the sum of its proper divisors (161314012800).

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

48461783040 is a wasteful number, since it uses less digits than its factorization.

48461783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48461783040 in words is "forty-eight billion, four hundred sixty-one million, seven hundred eighty-three thousand, forty".