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10050168040000 = 26541141312
BaseRepresentation
bin1001001000111111110010…
…1100100010101001000000
31022120210020111020201222221
42102033330230202221000
52304130221004240000
633212552232140424
72055046350553504
oct222177454425100
938523214221887
1010050168040000
113225285940000
121163958b37714
1357b95a9723aa
1426a605cc2304
1512666442c61a
hex923fcb22a40

10050168040000 has 525 divisors, whose sum is σ = 27623952939055. Its totient is φ = 3626708800000.

The previous prime is 10050168039997. The next prime is 10050168040007. The reversal of 10050168040000 is 4086105001.

The square root of 10050168040000 is 3170200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 787933174336 + 9262234865664 = 887656^2 + 3043392^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10050168040007) 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 74 ways as a sum of consecutive naturals, for example, 76718839935 + ... + 76718840065.

Almost surely, 210050168040000 is an apocalyptic number.

10050168040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10050168040000 is the 3170200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050168040000

10050168040000 is an abundant number, since it is smaller than the sum of its proper divisors (17573784899055).

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

10050168040000 is an frugal number, since it uses more digits than its factorization.

10050168040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 10050168040000 by its sum of digits (25), we get a square (251254201000000 = 158510002).

10050168040000 divided by its sum of digits (25) gives a square (402006721600 = 6340402).

The spelling of 10050168040000 in words is "ten trillion, fifty billion, one hundred sixty-eight million, forty thousand".