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2000348923104 = 253371744943331
BaseRepresentation
bin11101000110111110000…
…101100100010011100000
321002020020202101222111000
4131012332011210103200
5230233203311014404
64130540403352000
7264343340205420
oct35067605442340
97066222358430
102000348923104
117013858aa994
12283820982600
1311682a93134c
146cb62d5a480
1537078952339
hex1d1be1644e0

2000348923104 has 384 divisors, whose sum is σ = 7075942272000. Its totient is φ = 536698552320.

The previous prime is 2000348923057. The next prime is 2000348923109. The reversal of 2000348923104 is 4013298430002.

2000348923104 is a `hidden beast` number, since 200 + 0 + 348 + 9 + 2 + 3 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000348923109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46142719 + ... + 46186049.

It is an arithmetic number, because the mean of its divisors is an integer number (18426933000).

Almost surely, 22000348923104 is an apocalyptic number.

2000348923104 is a gapful number since it is divisible by the number (24) 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 2000348923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537971136000).

2000348923104 is an abundant number, since it is smaller than the sum of its proper divisors (5075593348896).

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

2000348923104 is a wasteful number, since it uses less digits than its factorization.

2000348923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43823 (or 43809 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2000348923104 in words is "two trillion, three hundred forty-eight million, nine hundred twenty-three thousand, one hundred four".