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1217408868 = 2232132601301
BaseRepresentation
bin100100010010000…
…0010111101100100
310010211202210000100
41020210002331210
54443124040433
6320445144100
742111542664
oct11044027544
93124683010
101217408868
11575217335
1229b85b030
131652ab3a0
14b79821a4
1571d28b13
hex48902f64

1217408868 has 36 divisors (see below), whose sum is σ = 3314058748. Its totient is φ = 374587200.

The previous prime is 1217408867. The next prime is 1217408873. The reversal of 1217408868 is 8688047121.

It can be written as a sum of positive squares in 2 ways, for example, as 261857124 + 955551744 = 16182^2 + 30912^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1217408861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300183 + ... + 1301118.

Almost surely, 21217408868 is an apocalyptic number.

1217408868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1217408868 is an abundant number, since it is smaller than the sum of its proper divisors (2096649880).

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

1217408868 is a wasteful number, since it uses less digits than its factorization.

1217408868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601324 (or 2601319 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1217408868 is about 34891.3867308251. The cubic root of 1217408868 is about 1067.7727181211.

The spelling of 1217408868 in words is "one billion, two hundred seventeen million, four hundred eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2601301 5202602 7803903 10405204 15607806 23411709 31215612 33816913 46823418 67633826 93646836 101450739 135267652 202901478 304352217 405802956 608704434 1217408868