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2000514229632 = 27332273138147
BaseRepresentation
bin11101000111000111111…
…100001010010110000000
321002020200021110102102000
4131013013330022112000
5230234023120322012
64131005030424000
7264350415245562
oct35070774122600
97066607412360
102000514229632
11701460147156
12283868202000
13116855c5c269
146cb7acab332
1537088206ddc
hex1d1c7f0a580

2000514229632 has 256 divisors, whose sum is σ = 5949982483200. Its totient is φ = 661698146304.

The previous prime is 2000514229621. The next prime is 2000514229643. The reversal of 2000514229632 is 2369224150002.

2000514229632 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 5 + 14 + 2 + 2 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (2000514229621) and next prime (2000514229643).

It is a super-2 number, since 2×20005142296322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 245548183 + ... + 245556329.

It is an arithmetic number, because the mean of its divisors is an integer number (23242119075).

Almost surely, 22000514229632 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 2000514229632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974991241600).

2000514229632 is an abundant number, since it is smaller than the sum of its proper divisors (3949468253568).

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

2000514229632 is a wasteful number, since it uses less digits than its factorization.

2000514229632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2000514229632 its reverse (2369224150002), we get a palindrome (4369738379634).

The spelling of 2000514229632 in words is "two trillion, five hundred fourteen million, two hundred twenty-nine thousand, six hundred thirty-two".