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993471000390 = 2325118978714327
BaseRepresentation
bin11100111010011110111…
…11000110111101000110
310111222022200221212202200
432131033133012331012
5112234112034003030
62040221055215330
7131530065112521
oct16351737067506
93458280855680
10993471000390
11353368530950
1214065b517546
13728b773316b
1436127293bb8
151ac98487d60
hexe74f7c6f46

993471000390 has 192 divisors, whose sum is σ = 2853326062080. Its totient is φ = 237816184320.

The previous prime is 993471000359. The next prime is 993471000407. The reversal of 993471000390 is 93000174399.

993471000390 is a `hidden beast` number, since 9 + 93 + 471 + 0 + 0 + 0 + 3 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69335407 + ... + 69349733.

It is an arithmetic number, because the mean of its divisors is an integer number (14861073240).

Almost surely, 2993471000390 is an apocalyptic number.

993471000390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 993471000390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426663031040).

993471000390 is an abundant number, since it is smaller than the sum of its proper divisors (1859855061690).

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

993471000390 is a wasteful number, since it uses less digits than its factorization.

993471000390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15224 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 993471000390 in words is "nine hundred ninety-three billion, four hundred seventy-one million, three hundred ninety", and thus it is an aban number.