Search a number
-
+
198730554880 = 29511213172903
BaseRepresentation
bin1011100100010101000…
…0111001111000000000
3200222221212121012011111
42321011100321320000
511224000010224010
6231143501253104
720233504562554
oct2710520717000
9628855535144
10198730554880
1177310243300
1232622564194
1315981321910
149893675864
155281cbc58a
hex2e45439e00

198730554880 has 480 divisors, whose sum is σ = 597414388032. Its totient is φ = 62761205760.

The previous prime is 198730554859. The next prime is 198730554899. The reversal of 198730554880 is 88455037891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68455509 + ... + 68458411.

Almost surely, 2198730554880 is an apocalyptic number.

198730554880 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 198730554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298707194016).

198730554880 is an abundant number, since it is smaller than the sum of its proper divisors (398683833152).

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

198730554880 is a wasteful number, since it uses less digits than its factorization.

198730554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 198730554880 in words is "one hundred ninety-eight billion, seven hundred thirty million, five hundred fifty-four thousand, eight hundred eighty".