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99303387456 = 26372131018039
BaseRepresentation
bin101110001111011110…
…0010111000101000000
3100111022121211202111010
41130132330113011000
53111333131344311
6113341440120520
710113554603100
oct1343674270500
9314277752433
1099303387456
113912919a859
12172b4606140
1394973b8180
144b40729200
1528b2ed5da6
hex171ef17140

99303387456 has 336 divisors, whose sum is σ = 332447310720. Its totient is φ = 25927372800.

The previous prime is 99303387439. The next prime is 99303387479. The reversal of 99303387456 is 65478330399.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×993033874562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99303387396 and 99303387405.

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, 12348685 + ... + 12356723.

It is an arithmetic number, because the mean of its divisors is an integer number (989426520).

Almost surely, 299303387456 is an apocalyptic number.

99303387456 is a gapful number since it is divisible by the number (96) 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 99303387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166223655360).

99303387456 is an abundant number, since it is smaller than the sum of its proper divisors (233143923264).

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

99303387456 is a wasteful number, since it uses less digits than its factorization.

99303387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 99303387456 in words is "ninety-nine billion, three hundred three million, three hundred eighty-seven thousand, four hundred fifty-six".