Search a number
-
+
32612005140 = 2235111310137633
BaseRepresentation
bin11110010111110100…
…111011010100010100
310010011210020111211020
4132113310323110110
51013242133131030
622552020241140
72233104320121
oct362764732424
9103153214736
1032612005140
1112915699170
1263a18401b0
1330c957c480
1418152d3748
15cad0cb510
hex797d3b514

32612005140 has 192 divisors, whose sum is σ = 108342565632. Its totient is φ = 7225344000.

The previous prime is 32612005117. The next prime is 32612005147. The reversal of 32612005140 is 4150021623.

It is a self number, because there is not a number n which added to its sum of digits gives 32612005140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32612005147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847764 + ... + 885396.

It is an arithmetic number, because the mean of its divisors is an integer number (564284196).

Almost surely, 232612005140 is an apocalyptic number.

32612005140 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 32612005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54171282816).

32612005140 is an abundant number, since it is smaller than the sum of its proper divisors (75730560492).

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

32612005140 is a wasteful number, since it uses less digits than its factorization.

32612005140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37770 (or 37768 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 32612005140 its reverse (4150021623), we get a palindrome (36762026763).

The spelling of 32612005140 in words is "thirty-two billion, six hundred twelve million, five thousand, one hundred forty".