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11984371515984 = 24371710738351197
BaseRepresentation
bin1010111001100101010000…
…1101010000001001010000
31120102200202110022212010010
42232121110031100021100
53032322443102002414
641253313321234520
72344561620051120
oct256312415201120
946380673285103
1011984371515984
1139005a831a50a
121416799932a40
1368c1768b3cca
142d6092118c80
1515bb1ad63959
hexae654350250

11984371515984 has 320 divisors, whose sum is σ = 37913349390336. Its totient is φ = 3184171671552.

The previous prime is 11984371515983. The next prime is 11984371515997. The reversal of 11984371515984 is 48951517348911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11984371515983) 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 63 ways as a sum of consecutive naturals, for example, 234057874 + ... + 234109070.

Almost surely, 211984371515984 is an apocalyptic number.

11984371515984 is a gapful number since it is divisible by the number (14) 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 11984371515984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18956674695168).

11984371515984 is an abundant number, since it is smaller than the sum of its proper divisors (25928977874352).

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

11984371515984 is a wasteful number, since it uses less digits than its factorization.

11984371515984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51722 (or 51716 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 66.

The spelling of 11984371515984 in words is "eleven trillion, nine hundred eighty-four billion, three hundred seventy-one million, five hundred fifteen thousand, nine hundred eighty-four".