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11061779006824 = 23731319101283571
BaseRepresentation
bin1010000011111000010101…
…1010001000010101101000
31110011111101101202101122021
42200332011122020111220
52422214010411204244
635305413334034224
72221121124112000
oct240760532102550
943144341671567
1011061779006824
113585301962147
1212a7a1b4a8974
13623176600ab0
142a35703d9000
15142b201ba284
hexa0f85688568

11061779006824 has 512 divisors, whose sum is σ = 27837089280000. Its totient is φ = 4083053184000.

The previous prime is 11061779006819. The next prime is 11061779006867. The reversal of 11061779006824 is 42860097716011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19372642459 + ... + 19372643029.

It is an arithmetic number, because the mean of its divisors is an integer number (54369315000).

Almost surely, 211061779006824 is an apocalyptic number.

11061779006824 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 11061779006824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918544640000).

11061779006824 is an abundant number, since it is smaller than the sum of its proper divisors (16775310273176).

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

11061779006824 is a wasteful number, since it uses less digits than its factorization.

11061779006824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 11061779006824 in words is "eleven trillion, sixty-one billion, seven hundred seventy-nine million, six thousand, eight hundred twenty-four".