Search a number
-
+
198275578707024 = 243572132331472389
BaseRepresentation
bin101101000101010010100001…
…011011111011110001010000
3222000000221220222202000100000
4231011102201123323301100
5201442021341122111044
61541410313212330000
756522636451214200
oct5505224133736120
9860027828660300
10198275578707024
11581a4223167a05
121a2a3176173900
1386833cb1a19c0
1436d6836b32400
1517dc9097b1d69
hexb454a16fbc50

198275578707024 has 2880 divisors, whose sum is σ = 793352742174720. Its totient is φ = 47355630981120.

The previous prime is 198275578707013. The next prime is 198275578707049. The reversal of 198275578707024 is 420707875572891.

198275578707024 is a `hidden beast` number, since 1 + 9 + 8 + 27 + 5 + 578 + 7 + 0 + 7 + 0 + 24 = 666.

It is a super-2 number, since 2×1982755787070242 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 82995218022 + ... + 82995220410.

It is an arithmetic number, because the mean of its divisors is an integer number (275469702144).

Almost surely, 2198275578707024 is an apocalyptic number.

198275578707024 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 198275578707024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396676371087360).

198275578707024 is an abundant number, since it is smaller than the sum of its proper divisors (595077163467696).

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

198275578707024 is a wasteful number, since it uses less digits than its factorization.

198275578707024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 72.

The spelling of 198275578707024 in words is "one hundred ninety-eight trillion, two hundred seventy-five billion, five hundred seventy-eight million, seven hundred seven thousand, twenty-four".