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199314598855680 = 210335711232967419
BaseRepresentation
bin101101010100011010001011…
…110111010000010000000000
3222010201021211002110100222000
4231110122023313100100000
5202111032244301340210
61543523510200144000
756661001364601450
oct5524321367202000
9863637732410860
10199314598855680
1158564934a2a040
121a430607a68000
13872a3945188a9
143730c41561d60
15180996b9adac0
hexb5468bdd0400

199314598855680 has 5632 divisors, whose sum is σ = 969819734016000. Its totient is φ = 37588469022720.

The previous prime is 199314598855633. The next prime is 199314598855727. The reversal of 199314598855680 is 86558895413991.

199314598855680 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 1 + 4 + 59 + 8 + 8 + 556 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (199314598855633) and next prime (199314598855727).

It is a tau number, because it is divible by the number of its divisors (5632).

It is a self number, because there is not a number n which added to its sum of digits gives 199314598855680.

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 511 ways as a sum of consecutive naturals, for example, 475691166511 + ... + 475691166929.

Almost surely, 2199314598855680 is an apocalyptic number.

199314598855680 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 199314598855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484909867008000).

199314598855680 is an abundant number, since it is smaller than the sum of its proper divisors (770505135160320).

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

199314598855680 is a wasteful number, since it uses less digits than its factorization.

199314598855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3359232000, while the sum is 81.

The spelling of 199314598855680 in words is "one hundred ninety-nine trillion, three hundred fourteen billion, five hundred ninety-eight million, eight hundred fifty-five thousand, six hundred eighty".