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199702028921472 = 27337113315634027
BaseRepresentation
bin101101011010000011000000…
…011111101010101010000000
3222012002022211202110220212000
4231122003000133222222000
5202133404223400441342
61544421502351104000
760030665305041120
oct5532030037525200
9865068752426760
10199702028921472
11586a4178117860
121a493711512000
138757a888c272c
1437458b6148c80
151814a94aa744c
hexb5a0c07eaa80

199702028921472 has 1024 divisors, whose sum is σ = 738546857164800. Its totient is φ = 51609274675200.

The previous prime is 199702028921453. The next prime is 199702028921491. The reversal of 199702028921472 is 274129820207991.

199702028921472 is a `hidden beast` number, since 1 + 9 + 9 + 70 + 2 + 0 + 2 + 8 + 92 + 1 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (199702028921453) and next prime (199702028921491).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 49590767523 + ... + 49590771549.

It is an arithmetic number, because the mean of its divisors is an integer number (721237165200).

Almost surely, 2199702028921472 is an apocalyptic number.

199702028921472 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 199702028921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369273428582400).

199702028921472 is an abundant number, since it is smaller than the sum of its proper divisors (538844828243328).

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

199702028921472 is a wasteful number, since it uses less digits than its factorization.

199702028921472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 199702028921472 in words is "one hundred ninety-nine trillion, seven hundred two billion, twenty-eight million, nine hundred twenty-one thousand, four hundred seventy-two".