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11322911337984 = 29344361104089
BaseRepresentation
bin1010010011000101001000…
…0110111010111000000000
31111002110102011022021020000
42210301102012322320000
52441003310300303414
640025401302120000
72246024204234511
oct244612206727000
944073364267200
1011322911337984
113676024298584
12132a558120000
13641990b3ab8c
142b20634c6a08
151498054b2b09
hexa4c521bae00

11322911337984 has 400 divisors, whose sum is σ = 35149113698160. Its totient is φ = 3626059530240.

The previous prime is 11322911337971. The next prime is 11322911338031. The reversal of 11322911337984 is 48973311922311.

11322911337984 is a `hidden beast` number, since 1 + 1 + 3 + 229 + 1 + 1 + 337 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11322911337984.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 108729012 + ... + 108833100.

Almost surely, 211322911337984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322911337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574556849080).

11322911337984 is an abundant number, since it is smaller than the sum of its proper divisors (23826202360176).

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

11322911337984 is an equidigital number, since it uses as much as digits as its factorization.

11322911337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104223 (or 104198 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 11322911337984 in words is "eleven trillion, three hundred twenty-two billion, nine hundred eleven million, three hundred thirty-seven thousand, nine hundred eighty-four".