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1190416214064 = 243711322082309
BaseRepresentation
bin10001010100101010010…
…101011110100000110000
311012210200011010100012210
4101110222111132200300
5124000433022322224
62310511502452120
7152001423603120
oct21245225364060
94183604110183
101190416214064
11419941a11950
12172863b94040
1388342bc7c5c
144188b78ac80
1520e73645429
hex1152a55e830

1190416214064 has 80 divisors (see below), whose sum is σ = 3834067818240. Its totient is φ = 309199015680.

The previous prime is 1190416214063. The next prime is 1190416214093. The reversal of 1190416214064 is 4604126140911.

It is not an unprimeable number, because it can be changed into a prime (1190416214063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 161037459 + ... + 161044850.

It is an arithmetic number, because the mean of its divisors is an integer number (47925847728).

Almost surely, 21190416214064 is an apocalyptic number.

1190416214064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1190416214064 is an abundant number, since it is smaller than the sum of its proper divisors (2643651604176).

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

1190416214064 is a wasteful number, since it uses less digits than its factorization.

1190416214064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322082338 (or 322082332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 1190416214064 in words is "one trillion, one hundred ninety billion, four hundred sixteen million, two hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 322082309 644164618 966246927 1288329236 1932493854 2254576163 2576658472 3542905399 3864987708 4509152326 5153316944 6763728489 7085810798 7729975416 9018304652 10628716197 13527456978 14171621596 15459950832 18036609304 21257432394 24800337793 27054913956 28343243192 36073218608 42514864788 49600675586 54109827912 56686486384 74401013379 85029729576 99201351172 108219655824 148802026758 170059459152 198402702344 297604053516 396805404688 595208107032 1190416214064