Search a number
-
+
32811040080 = 243257132321773
BaseRepresentation
bin11110100011101100…
…001011110101010000
310010200122202112102200
4132203230023311100
51014144111240310
623023450243200
72241042144660
oct364354136520
9103618675380
1032811040080
1112a07a82055
126438426500
13312b889420
1418339041a0
15cc07e49c0
hex7a3b0bd50

32811040080 has 480 divisors, whose sum is σ = 141521942016. Its totient is φ = 6621474816.

The previous prime is 32811040069. The next prime is 32811040081. The reversal of 32811040080 is 8004011823.

It is a super-2 number, since 2×328110400802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32811040081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1496074 + ... + 1517846.

Almost surely, 232811040080 is an apocalyptic number.

32811040080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32811040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70760971008).

32811040080 is an abundant number, since it is smaller than the sum of its proper divisors (108710901936).

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

32811040080 is a wasteful number, since it uses less digits than its factorization.

32811040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21835 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 32811040080 in words is "thirty-two billion, eight hundred eleven million, forty thousand, eighty".