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1329408972 = 223236928027
BaseRepresentation
bin100111100111101…
…0010101111001100
310102122111222021100
41033033102233030
510210312041342
6335525503100
744641534623
oct11717225714
93378458240
101329408972
11622464701
12311271a90
13182563c38
14c87b86ba
157ba9de4c
hex4f3d2bcc

1329408972 has 18 divisors (see below), whose sum is σ = 3360450548. Its totient is φ = 443136312.

The previous prime is 1329408937. The next prime is 1329408973. The reversal of 1329408972 is 2798049231.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (1329408973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18463978 + ... + 18464049.

Almost surely, 21329408972 is an apocalyptic number.

1329408972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1329408972 is an abundant number, since it is smaller than the sum of its proper divisors (2031041576).

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

1329408972 is a wasteful number, since it uses less digits than its factorization.

1329408972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36928037 (or 36928032 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1329408972 is about 36461.0610377701. The cubic root of 1329408972 is about 1099.5615255170.

The spelling of 1329408972 in words is "one billion, three hundred twenty-nine million, four hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 36928027 73856054 110784081 147712108 221568162 332352243 443136324 664704486 1329408972