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48409799040 = 273651943127
BaseRepresentation
bin101101000101011100…
…101110100110000000
311121221202120121000000
4231011130232212000
51243120402032130
634123354000000
73332432334231
oct550534564600
9147852517000
1048409799040
1119592084589
129470416000
134746488205
1424b346b088
1513d4e7e260
hexb4572e980

48409799040 has 896 divisors, whose sum is σ = 188366745600. Its totient is φ = 11851370496.

The previous prime is 48409799003. The next prime is 48409799057. The reversal of 48409799040 is 4099790484.

It is a happy number.

48409799040 is a `hidden beast` number, since 48 + 409 + 79 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 381179457 + ... + 381179583.

Almost surely, 248409799040 is an apocalyptic number.

48409799040 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 48409799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94183372800).

48409799040 is an abundant number, since it is smaller than the sum of its proper divisors (139956946560).

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

48409799040 is a wasteful number, since it uses less digits than its factorization.

48409799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 48409799040 in words is "forty-eight billion, four hundred nine million, seven hundred ninety-nine thousand, forty".