Search a number
-
+
198942927040 = 2651113172311119
BaseRepresentation
bin1011100101000111101…
…1000010100011000000
3201000111200012211000001
42321101323002203000
511224413342131130
6231220525205344
720241663656434
oct2712173024300
9630450184001
10198942927040
117740a106690
1232681700854
13159b631b410
1498b39589c4
15529576c6ca
hex2e51ec28c0

198942927040 has 448 divisors, whose sum is σ = 614968381440. Its totient is φ = 60111912960.

The previous prime is 198942927031. The next prime is 198942927061. The reversal of 198942927040 is 40729249891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17886601 + ... + 17897719.

It is an arithmetic number, because the mean of its divisors is an integer number (1372697280).

Almost surely, 2198942927040 is an apocalyptic number.

198942927040 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 198942927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307484190720).

198942927040 is an abundant number, since it is smaller than the sum of its proper divisors (416025454400).

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

198942927040 is a wasteful number, since it uses less digits than its factorization.

198942927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11200 (or 11190 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 198942927040 in words is "one hundred ninety-eight billion, nine hundred forty-two million, nine hundred twenty-seven thousand, forty".