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1214617968 = 24328434847
BaseRepresentation
bin100100001100101…
…1001100101110000
310010122111222121200
41020121121211300
54441420233333
6320305251200
742046040154
oct11031314560
93118458550
101214617968
11573690503
1229a933b00
13164841c75
14b7457064
1571976c13
hex48659970

1214617968 has 30 divisors (see below), whose sum is σ = 3399243744. Its totient is φ = 404872608.

The previous prime is 1214617951. The next prime is 1214617973. The reversal of 1214617968 is 8697164121.

1214617968 is a `hidden beast` number, since 1 + 21 + 4 + 617 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4217280 + ... + 4217567.

Almost surely, 21214617968 is an apocalyptic number.

1214617968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1214617968 is an abundant number, since it is smaller than the sum of its proper divisors (2184625776).

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

1214617968 is a wasteful number, since it uses less digits than its factorization.

1214617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434861 (or 8434852 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1214617968 is about 34851.3696717934. The cubic root of 1214617968 is about 1066.9561403587.

The spelling of 1214617968 in words is "one billion, two hundred fourteen million, six hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8434847 16869694 25304541 33739388 50609082 67478776 75913623 101218164 134957552 151827246 202436328 303654492 404872656 607308984 1214617968