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993248442648 = 2332711374842091
BaseRepresentation
bin11100111010000100011…
…10000111100100011000
310111221202012011202221100
432131002032013210120
5112233133100131043
62040143025111400
7131521423314240
oct16350216074430
93457665152840
10993248442648
11353263940a30
121405b8a88560
13728805ab4a7
14361058bcb20
151ac83b74cd3
hexe742387918

993248442648 has 192 divisors, whose sum is σ = 3444470565120. Its totient is φ = 251013945600.

The previous prime is 993248442647. The next prime is 993248442707. The reversal of 993248442648 is 846244842399.

993248442648 is a `hidden beast` number, since 9 + 9 + 324 + 8 + 44 + 264 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993248442647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2215918 + ... + 2626173.

It is an arithmetic number, because the mean of its divisors is an integer number (17939950860).

Almost surely, 2993248442648 is an apocalyptic number.

It is an amenable number.

993248442648 is an abundant number, since it is smaller than the sum of its proper divisors (2451222122472).

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

993248442648 is a wasteful number, since it uses less digits than its factorization.

993248442648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842158 (or 4842151 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 993248442648 in words is "nine hundred ninety-three billion, two hundred forty-eight million, four hundred forty-two thousand, six hundred forty-eight".