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48480113088 = 26331159139311
BaseRepresentation
bin101101001001101000…
…111101000111000000
311122010122212220202000
4231021220331013000
51243241402104323
634134345024000
73334245106401
oct551150750700
9148118786660
1048480113088
111961883a570
12948ba85000
134757c06964
1424bc9319a8
1513db21ce43
hexb49a3d1c0

48480113088 has 448 divisors, whose sum is σ = 159763968000. Its totient is φ = 14291942400.

The previous prime is 48480113057. The next prime is 48480113107. The reversal of 48480113088 is 88031108484.

48480113088 is a `hidden beast` number, since 484 + 80 + 1 + 13 + 0 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155884453 + ... + 155884763.

It is an arithmetic number, because the mean of its divisors is an integer number (356616000).

Almost surely, 248480113088 is an apocalyptic number.

48480113088 is a gapful number since it is divisible by the number (48) 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 48480113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984000).

48480113088 is an abundant number, since it is smaller than the sum of its proper divisors (111283854912).

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

48480113088 is a wasteful number, since it uses less digits than its factorization.

48480113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 48480113088 in words is "forty-eight billion, four hundred eighty million, one hundred thirteen thousand, eighty-eight".