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198242313875424 = 25337139725993783
BaseRepresentation
bin101101000100110011100010…
…101100101010111111100000
3221222220210001201002110222000
4231010303202230222333200
5201441000224323003144
61541343132311444000
756520351225625650
oct5504634254527740
9858823051073860
10198242313875424
115819110301a645
121a298831986600
1386802295bbbb0
1436d4d9cc64360
1517dbb0e230769
hexb44ce2b2afe0

198242313875424 has 384 divisors, whose sum is σ = 718975588423680. Its totient is φ = 51744678100992.

The previous prime is 198242313875423. The next prime is 198242313875467. The reversal of 198242313875424 is 424578313242891.

198242313875424 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 4 + 2 + 3 + 1 + 3 + 87 + 542 + 4 = 666.

198242313875424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198242313875423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5370364 + ... + 20623419.

It is an arithmetic number, because the mean of its divisors is an integer number (1872332261520).

Almost surely, 2198242313875424 is an apocalyptic number.

198242313875424 is a gapful number since it is divisible by the number (14) 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 198242313875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359487794211840).

198242313875424 is an abundant number, since it is smaller than the sum of its proper divisors (520733274548256).

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

198242313875424 is a wasteful number, since it uses less digits than its factorization.

198242313875424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25993919 (or 25993905 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 198242313875424 in words is "one hundred ninety-eight trillion, two hundred forty-two billion, three hundred thirteen million, eight hundred seventy-five thousand, four hundred twenty-four".