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14646808992690 = 232571716754115137
BaseRepresentation
bin1101010100100011100111…
…0110001101101110110010
31220212012222022011012202200
43111020321312031232302
53404433131100231230
651052352352324030
73041124403154040
oct325107166155662
956765868135680
1014646808992690
114737749920206
121786796843616
1382325a510864
14388ca3319390
151a5ee53dc160
hexd5239d8dbb2

14646808992690 has 384 divisors, whose sum is σ = 46446759410688. Its totient is φ = 3126046556160.

The previous prime is 14646808992677. The next prime is 14646808992727. The reversal of 14646808992690 is 9629980864641.

14646808992690 is a `hidden beast` number, since 1 + 464 + 6 + 80 + 89 + 9 + 2 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×146468089926902 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 967608802 + ... + 967623938.

It is an arithmetic number, because the mean of its divisors is an integer number (120955102632).

Almost surely, 214646808992690 is an apocalyptic number.

14646808992690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14646808992690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23223379705344).

14646808992690 is an abundant number, since it is smaller than the sum of its proper divisors (31799950417998).

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

14646808992690 is a wasteful number, since it uses less digits than its factorization.

14646808992690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15882 (or 15879 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 14646808992690 in words is "fourteen trillion, six hundred forty-six billion, eight hundred eight million, nine hundred ninety-two thousand, six hundred ninety".