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199405991129472 = 27323114571217893
BaseRepresentation
bin101101010101101111010011…
…010001000111000110000000
3222011001000201101010220200100
4231111233103101013012000
5202114031432212120342
61544033503033522400
760000415231241331
oct5525572321070600
9864030641126610
10199405991129472
115859a673542026
121a446272b73400
138735b9a9129ca
143735431320288
15180c01a1a5e4c
hexb55bd3447180

199405991129472 has 192 divisors, whose sum is σ = 576916680094560. Its totient is φ = 66109905838080.

The previous prime is 199405991129461. The next prime is 199405991129671. The reversal of 199405991129472 is 274921199504991.

199405991129472 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 0 + 59 + 91 + 12 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 199405991129472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163121358 + ... + 164339250.

Almost surely, 2199405991129472 is an apocalyptic number.

199405991129472 is a gapful number since it is divisible by the number (12) 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 199405991129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288458340047280).

199405991129472 is an abundant number, since it is smaller than the sum of its proper divisors (377510688965088).

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

199405991129472 is a wasteful number, since it uses less digits than its factorization.

199405991129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218681 (or 1218666 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 199405991129472 in words is "one hundred ninety-nine trillion, four hundred five billion, nine hundred ninety-one million, one hundred twenty-nine thousand, four hundred seventy-two".