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1331966952 = 233218499541
BaseRepresentation
bin100111101100100…
…0011001111101000
310102211022221011100
41033121003033220
510211440420302
6340100401400
745002350401
oct11731031750
93384287140
101331966952
11623951538
123120a6260
13182c4b334
14c8c829a8
157be06d1c
hex4f6433e8

1331966952 has 24 divisors (see below), whose sum is σ = 3607410690. Its totient is φ = 443988960.

The previous prime is 1331966947. The next prime is 1331966953. The reversal of 1331966952 is 2596691331.

It can be written as a sum of positive squares in only one way, i.e., 1161037476 + 170929476 = 34074^2 + 13074^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13319669522 = 3548271922440340608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331966898 and 1331966907.

It is not an unprimeable number, because it can be changed into a prime (1331966953) 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, 9249699 + ... + 9249842.

Almost surely, 21331966952 is an apocalyptic number.

1331966952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331966952 is an abundant number, since it is smaller than the sum of its proper divisors (2275443738).

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

1331966952 is a wasteful number, since it uses less digits than its factorization.

1331966952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18499553 (or 18499546 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 1331966952 is about 36496.1224241699. The cubic root of 1331966952 is about 1100.2663134809.

The spelling of 1331966952 in words is "one billion, three hundred thirty-one million, nine hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18499541 36999082 55498623 73998164 110997246 147996328 166495869 221994492 332991738 443988984 665983476 1331966952