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48450599568 = 243273753127193
BaseRepresentation
bin101101000111111000…
…010111101010010000
311122001121100110210200
4231013320113222100
51243211323141233
634131412255200
73333436205220
oct550770275220
9148047313720
1048450599568
1119603111628
129482011500
134751a72237
1424b8a4c080
1513d883d313
hexb47e17a90

48450599568 has 480 divisors, whose sum is σ = 164279771136. Its totient is φ = 13042778112.

The previous prime is 48450599567. The next prime is 48450599569. The reversal of 48450599568 is 86599505484.

48450599568 is a `hidden beast` number, since 48 + 450 + 5 + 99 + 56 + 8 = 666.

48450599568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48450599567) and next prime (48450599569).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48450599567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251039280 + ... + 251039472.

Almost surely, 248450599568 is an apocalyptic number.

48450599568 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 48450599568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82139885568).

48450599568 is an abundant number, since it is smaller than the sum of its proper divisors (115829171568).

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

48450599568 is a wasteful number, since it uses less digits than its factorization.

48450599568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 48450599568 in words is "forty-eight billion, four hundred fifty million, five hundred ninety-nine thousand, five hundred sixty-eight".