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332116131432 = 23371194903833
BaseRepresentation
bin1001101010100111010…
…10011111111001101000
31011202020202002112201110
410311103222133321220
520420133212201212
6412323321150320
732665101352521
oct4652352377150
91152222075643
10332116131432
11118938997188
125444902b3a0
132541a73c187
1412108635848
15898be89a3c
hex4d53a9fe68

332116131432 has 32 divisors (see below), whose sum is σ = 841984562880. Its totient is φ = 109146145920.

The previous prime is 332116131427. The next prime is 332116131433. The reversal of 332116131432 is 234131611233.

It is a happy number.

It is a super-2 number, since 2×3321161314322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 332116131432.

It is not an unprimeable number, because it can be changed into a prime (332116131433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97450213 + ... + 97453620.

It is an arithmetic number, because the mean of its divisors is an integer number (26312017590).

Almost surely, 2332116131432 is an apocalyptic number.

It is an amenable number.

332116131432 is an abundant number, since it is smaller than the sum of its proper divisors (509868431448).

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

332116131432 is a wasteful number, since it uses less digits than its factorization.

332116131432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194903913 (or 194903909 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 332116131432 its reverse (234131611233), we get a palindrome (566247742665).

The spelling of 332116131432 in words is "three hundred thirty-two billion, one hundred sixteen million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 194903833 389807666 584711499 779615332 1169422998 1559230664 2338845996 4677691992 13838172143 27676344286 41514516429 55352688572 83029032858 110705377144 166058065716 332116131432