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1832809968 = 2432111157077
BaseRepresentation
bin110110100111110…
…0111010111110000
311201201202101121200
41231033213113300
512223144404333
6501511251200
763263425203
oct15517472760
94651671550
101832809968
11860634290
12431979b00
1323293a052
141355b793a
15aad89c13
hex6d3e75f0

1832809968 has 60 divisors (see below), whose sum is σ = 5595629208. Its totient is φ = 555396480.

The previous prime is 1832809963. The next prime is 1832809981. The reversal of 1832809968 is 8699082381.

It is a happy number.

It is a super-2 number, since 2×18328099682 = 6718384757600322048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832809963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576955 + ... + 580122.

Almost surely, 21832809968 is an apocalyptic number.

1832809968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1832809968 is an abundant number, since it is smaller than the sum of its proper divisors (3762819240).

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

1832809968 is a wasteful number, since it uses less digits than its factorization.

1832809968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157102 (or 1157093 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1832809968 is about 42811.3299022584. The cubic root of 1832809968 is about 1223.7869358728.

The spelling of 1832809968 in words is "one billion, eight hundred thirty-two million, eight hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1157077 2314154 3471231 4628308 6942462 9256616 10413693 12727847 13884924 18513232 20827386 25455694 27769848 38183541 41654772 50911388 55539696 76367082 83309544 101822776 114550623 152734164 166619088 203645552 229101246 305468328 458202492 610936656 916404984 1832809968