Search a number
-
+
198469507552212 = 2231317277421964037
BaseRepresentation
bin101101001000000111001000…
…011111110001001111010100
3222000201111111020002002002210
4231020013020133301033110
5202003211022413132322
61542035344424433420
756542643262206331
oct5510071037611724
9860644436062083
10198469507552212
1158269499a18696
121a314878618870
138698795770a80
143701d927a1988
1517e29a9c4570c
hexb481c87f13d4

198469507552212 has 192 divisors, whose sum is σ = 530094842484480. Its totient is φ = 57253372452864.

The previous prime is 198469507552109. The next prime is 198469507552237. The reversal of 198469507552212 is 212255705964891.

It is a super-2 number, since 2×1984695075522122 (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3099262258 + ... + 3099326294.

It is an arithmetic number, because the mean of its divisors is an integer number (2760910637940).

Almost surely, 2198469507552212 is an apocalyptic number.

198469507552212 is a gapful number since it is divisible by the number (12) 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 198469507552212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265047421242240).

198469507552212 is an abundant number, since it is smaller than the sum of its proper divisors (331625334932268).

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

198469507552212 is a wasteful number, since it uses less digits than its factorization.

198469507552212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68570 (or 68568 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 198469507552212 in words is "one hundred ninety-eight trillion, four hundred sixty-nine billion, five hundred seven million, five hundred fifty-two thousand, two hundred twelve".