Search a number
-
+
200000118396960 = 25355717139310987
BaseRepresentation
bin101101011110011000101000…
…000000110001100000100000
3222020010211021010102020200000
4231132120220000301200200
5202203300220302200320
61545210441435100000
760061350243551250
oct5536305000614040
9866124233366600
10200000118396960
11587a963492a782
121a521442ba1600
138779c1297425b
1437560b3643960
15181c6de679c90
hexb5e628031820

200000118396960 has 1152 divisors, whose sum is σ = 862635531663360. Its totient is φ = 42715564130304.

The previous prime is 200000118396913. The next prime is 200000118396989. The reversal of 200000118396960 is 69693811000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 642958587 + ... + 643269573.

It is an arithmetic number, because the mean of its divisors is an integer number (748815565680).

Almost surely, 2200000118396960 is an apocalyptic number.

200000118396960 is a gapful number since it is divisible by the number (20) 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 200000118396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431317765831680).

200000118396960 is an abundant number, since it is smaller than the sum of its proper divisors (662635413266400).

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

200000118396960 is a wasteful number, since it uses less digits than its factorization.

200000118396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311180 (or 311160 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Adding to 200000118396960 its reverse (69693811000002), we get a palindrome (269693929396962).

The spelling of 200000118396960 in words is "two hundred trillion, one hundred eighteen million, three hundred ninety-six thousand, nine hundred sixty".