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1999538842752 = 2733112331711039
BaseRepresentation
bin11101000110001101110…
…011010110110010000000
321002011011022002122011000
4131012031303112302000
5230230023420432002
64130324144452000
7264314302506213
oct35061563266200
97064138078130
101999538842752
11700aaa6045a0
1228363561a000
1311672bb5c169
146cac752977a
153702c78861c
hex1d18dcd6c80

1999538842752 has 1024 divisors, whose sum is σ = 7038959616000. Its totient is φ = 552448512000.

The previous prime is 1999538842739. The next prime is 1999538842753. The reversal of 1999538842752 is 2572488359991.

1999538842752 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 538 + 84 + 2 + 7 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1999538842753) 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 127 ways as a sum of consecutive naturals, for example, 1924483449 + ... + 1924484487.

It is an arithmetic number, because the mean of its divisors is an integer number (6873984000).

Almost surely, 21999538842752 is an apocalyptic number.

1999538842752 is a gapful number since it is divisible by the number (12) 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 1999538842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519479808000).

1999538842752 is an abundant number, since it is smaller than the sum of its proper divisors (5039420773248).

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

1999538842752 is a wasteful number, since it uses less digits than its factorization.

1999538842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1180 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 1999538842752 in words is "one trillion, nine hundred ninety-nine billion, five hundred thirty-eight million, eight hundred forty-two thousand, seven hundred fifty-two".