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199174948380 = 2234519137149317
BaseRepresentation
bin1011100101111111000…
…0001000011000011100
3201001002211210201110000
42321133300020120130
511230402241322010
6231255534214300
720250512061462
oct2713760103034
9631084721400
10199174948380
117751907a761
1232727354390
1315a22407755
1498d66b4832
1552aacee7c0
hex2e5fc0861c

199174948380 has 480 divisors, whose sum is σ = 669055464000. Its totient is φ = 49458843648.

The previous prime is 199174948369. The next prime is 199174948409. The reversal of 199174948380 is 83849471991.

199174948380 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 74 + 9 + 483 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628311982 + ... + 628312298.

It is an arithmetic number, because the mean of its divisors is an integer number (1393865550).

Almost surely, 2199174948380 is an apocalyptic number.

199174948380 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 199174948380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334527732000).

199174948380 is an abundant number, since it is smaller than the sum of its proper divisors (469880515620).

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

199174948380 is a wasteful number, since it uses less digits than its factorization.

199174948380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 199174948380 in words is "one hundred ninety-nine billion, one hundred seventy-four million, nine hundred forty-eight thousand, three hundred eighty".