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9910009890000 = 2432541158717053
BaseRepresentation
bin1001000000110101101010…
…0111101000010011010000
31022002101110121222000020100
42100031122213220103100
52244331200012440000
633024332400412400
72041655166131463
oct220153247502320
938071417860210
109910009890000
1131808a2258490
121140762317100
1356b6823b9a1c
1426390b6872da
15122bae8bba00
hex9035a9e84d0

9910009890000 has 600 divisors, whose sum is σ = 37873976972832. Its totient is φ = 2398193280000.

The previous prime is 9910009889887. The next prime is 9910009890019. The reversal of 9910009890000 is 989000199.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 581121474 + ... + 581138526.

Almost surely, 29910009890000 is an apocalyptic number.

9910009890000 is a gapful number since it is divisible by the number (90) 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 9910009890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18936988486416).

9910009890000 is an abundant number, since it is smaller than the sum of its proper divisors (27963967082832).

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

9910009890000 is a wasteful number, since it uses less digits than its factorization.

9910009890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17685 (or 17661 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 9910009890000 in words is "nine trillion, nine hundred ten billion, nine million, eight hundred ninety thousand".