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2000096037000 = 2333533119112511
BaseRepresentation
bin11101000110101111000…
…000111000100010001000
321002012121010120000222000
4131012233000320202020
5230232144041141000
64130455331231000
7264334146543225
oct35065700704210
97065533500860
102000096037000
11701266085906
12283770148460
131167ba41b0b9
146cb3b52c94c
153706164d000
hex1d1af038888

2000096037000 has 512 divisors, whose sum is σ = 7195380940800. Its totient is φ = 513410400000.

The previous prime is 2000096036993. The next prime is 2000096037007. The reversal of 2000096037000 is 7306900002.

2000096037000 is a `hidden beast` number, since 200 + 0 + 0 + 96 + 0 + 370 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2000096036993) and next prime (2000096037007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2000096037007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159860745 + ... + 159873255.

It is an arithmetic number, because the mean of its divisors is an integer number (14053478400).

Almost surely, 22000096037000 is an apocalyptic number.

2000096037000 is a gapful number since it is divisible by the number (20) 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 2000096037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597690470400).

2000096037000 is an abundant number, since it is smaller than the sum of its proper divisors (5195284903800).

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

2000096037000 is a wasteful number, since it uses less digits than its factorization.

2000096037000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 2000096037000 in words is "two trillion, ninety-six million, thirty-seven thousand".