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1218067968 = 2931361001
BaseRepresentation
bin100100010011010…
…0011111000000000
310010220000021010110
41020212203320000
54443311133333
6320511231320
742120256365
oct11046437000
93126007113
101218067968
11575627547
1229bb18540
1316547c3a0
14b7ab446c
1571e09063
hex489a3e00

1218067968 has 80 divisors (see below), whose sum is σ = 3494682576. Its totient is φ = 374784000.

The previous prime is 1218067967. The next prime is 1218067987. The reversal of 1218067968 is 8697608121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218067967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10533 + ... + 50468.

Almost surely, 21218067968 is an apocalyptic number.

It is an amenable number.

1218067968 is an abundant number, since it is smaller than the sum of its proper divisors (2276614608).

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

1218067968 is an equidigital number, since it uses as much as digits as its factorization.

1218067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61035 (or 61019 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1218067968 is about 34900.8304772250. The cubic root of 1218067968 is about 1067.9653792309.

The spelling of 1218067968 in words is "one billion, two hundred eighteen million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 61001 122002 183003 244004 366006 488008 732012 793013 976016 1464024 1586026 1952032 2379039 2928048 3172052 3904064 4758078 5856096 6344104 7808128 9516156 11712192 12688208 15616256 19032312 23424384 25376416 31232512 38064624 46848768 50752832 76129248 93697536 101505664 152258496 203011328 304516992 406022656 609033984 1218067968