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93311332390848 = 2631121317231515233
BaseRepresentation
bin10101001101110110111100…
…110100100001011111000000
3110020101110212012011200102010
4111031312330310201133000
544212303102043001343
6530242345002452520
725440343542423645
oct2515667464413700
9406343765150363
1093311332390848
1127806128571100
12a570440504140
13400b2b43a2940
141908414bd3dcc
15abc3965c9d33
hex54ddbcd217c0

93311332390848 has 1344 divisors, whose sum is σ = 325090622416896. Its totient is φ = 23337566208000.

The previous prime is 93311332390811. The next prime is 93311332390879. The reversal of 93311332390848 is 84809323311339.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17831324040 + ... + 17831329272.

It is an arithmetic number, because the mean of its divisors is an integer number (241882903584).

Almost surely, 293311332390848 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 93311332390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162545311208448).

93311332390848 is an abundant number, since it is smaller than the sum of its proper divisors (231779290026048).

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

93311332390848 is a wasteful number, since it uses less digits than its factorization.

93311332390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 93311332390848 in words is "ninety-three trillion, three hundred eleven billion, three hundred thirty-two million, three hundred ninety thousand, eight hundred forty-eight".