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14116655597616 = 24351113293723663
BaseRepresentation
bin1100110101101100101000…
…1111100000100000110000
31211222112120000000022200000
43031123022033200200300
53322241402313110431
650005034013230000
72654615612515515
oct315331217404060
954875500008600
1014116655597616
1145529270787a0
1216bba9b492300
137b526c2b06a0
1436b36d55b30c
1519731747e9e6
hexcd6ca3e0830

14116655597616 has 960 divisors, whose sum is σ = 51140546795520. Its totient is φ = 3709353553920.

The previous prime is 14116655597591. The next prime is 14116655597657. The reversal of 14116655597616 is 61679555661141.

14116655597616 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 6 + 6 + 5 + 5 + 5 + 9 + 7 + 616 = 666.

It is a super-2 number, since 2×141166555976162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596559001 + ... + 596582663.

It is an arithmetic number, because the mean of its divisors is an integer number (53271402912).

Almost surely, 214116655597616 is an apocalyptic number.

14116655597616 is a gapful number since it is divisible by the number (16) 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 14116655597616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570273397760).

14116655597616 is an abundant number, since it is smaller than the sum of its proper divisors (37023891197904).

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

14116655597616 is a wasteful number, since it uses less digits than its factorization.

14116655597616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23776 (or 23758 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 14116655597616 in words is "fourteen trillion, one hundred sixteen billion, six hundred fifty-five million, five hundred ninety-seven thousand, six hundred sixteen".