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1986696911232 = 2732111997257331
BaseRepresentation
bin11100111010010000010…
…111010001100110000000
321000221000022201220212200
4130322100113101212000
5230022223402124412
64120402001353200
7263351126054505
oct34722027214600
97027008656780
101986696911232
116a660a682350
12281050938800
13115463452a07
146c229b894ac
1536a2a15b9dc
hex1ce905d1980

1986696911232 has 768 divisors, whose sum is σ = 6678495532800. Its totient is φ = 560568729600.

The previous prime is 1986696911231. The next prime is 1986696911291. The reversal of 1986696911232 is 2321196966891.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1986696911232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986696911231) 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 95 ways as a sum of consecutive naturals, for example, 6002105307 + ... + 6002105637.

It is an arithmetic number, because the mean of its divisors is an integer number (8695957725).

Almost surely, 21986696911232 is an apocalyptic number.

1986696911232 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 1986696911232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339247766400).

1986696911232 is an abundant number, since it is smaller than the sum of its proper divisors (4691798621568).

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

1986696911232 is a wasteful number, since it uses less digits than its factorization.

1986696911232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 1986696911232 in words is "one trillion, nine hundred eighty-six billion, six hundred ninety-six million, nine hundred eleven thousand, two hundred thirty-two".