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91842500048 = 241319232197223
BaseRepresentation
bin101010110001000111…
…1010101010111010000
322210001122212102000212
41111202033111113100
53001043140000143
6110105235303252
76430641240545
oct1254217252720
9283048772025
1091842500048
1135a4a773702
1215971a4ab28
138878772ab0
1446338b8bcc
1525c7ecc918
hex15623d55d0

91842500048 has 240 divisors, whose sum is σ = 212891374080. Its totient is φ = 38045500416.

The previous prime is 91842500039. The next prime is 91842500059. The reversal of 91842500048 is 84000524819.

It is a junction number, because it is equal to n+sod(n) for n = 91842499978 and 91842500014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411849665 + ... + 411849887.

It is an arithmetic number, because the mean of its divisors is an integer number (887047392).

Almost surely, 291842500048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91842500048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106445687040).

91842500048 is an abundant number, since it is smaller than the sum of its proper divisors (121048874032).

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

91842500048 is a wasteful number, since it uses less digits than its factorization.

91842500048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 91842500048 in words is "ninety-one billion, eight hundred forty-two million, five hundred thousand, forty-eight".