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13416181111740 = 223511172272152627
BaseRepresentation
bin1100001100111011001010…
…1101011001101110111100
31202111120111201200112200010
43003032302231121232330
53224302314331033430
644311150350103220
72553200321601321
oct303166255315674
952446451615603
1013416181111740
114302852529910
12160818baaab10
137641a9752894
143454bd222b48
15183ebb8edcb0
hexc33b2b59bbc

13416181111740 has 192 divisors, whose sum is σ = 43393677239808. Its totient is φ = 3060896563200.

The previous prime is 13416181111687. The next prime is 13416181111769. The reversal of 13416181111740 is 4711118161431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254903307 + ... + 254955933.

It is an arithmetic number, because the mean of its divisors is an integer number (226008735624).

Almost surely, 213416181111740 is an apocalyptic number.

13416181111740 is a gapful number since it is divisible by the number (10) 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 13416181111740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21696838619904).

13416181111740 is an abundant number, since it is smaller than the sum of its proper divisors (29977496128068).

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

13416181111740 is a wasteful number, since it uses less digits than its factorization.

13416181111740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75388 (or 75386 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

The spelling of 13416181111740 in words is "thirteen trillion, four hundred sixteen billion, one hundred eighty-one million, one hundred eleven thousand, seven hundred forty".