Search a number
-
+
31512170432 = 268319730113
BaseRepresentation
bin11101010110010001…
…011000111111000000
310000100010201010020102
4131112101120333000
51004014103423212
622250531101532
72163621013001
oct352621307700
9100303633212
1031512170432
1112400887066
1261354418a8
132c82758ac2
14174d1d91a8
15c467795c2
hex756458fc0

31512170432 has 56 divisors (see below), whose sum is σ = 63608718096. Its totient is φ = 15486722048.

The previous prime is 31512170413. The next prime is 31512170449. The reversal of 31512170432 is 23407121513.

It is a junction number, because it is equal to n+sod(n) for n = 31512170395 and 31512170404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031408 + ... + 1061520.

It is an arithmetic number, because the mean of its divisors is an integer number (1135869966).

Almost surely, 231512170432 is an apocalyptic number.

31512170432 is a gapful number since it is divisible by the number (32) 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 31512170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31804359048).

31512170432 is an abundant number, since it is smaller than the sum of its proper divisors (32096547664).

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

31512170432 is a wasteful number, since it uses less digits than its factorization.

31512170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30405 (or 30395 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 31512170432 its reverse (23407121513), we get a palindrome (54919291945).

The spelling of 31512170432 in words is "thirty-one billion, five hundred twelve million, one hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 166 197 332 394 664 788 1328 1576 2656 3152 5312 6304 12608 16351 30113 32702 60226 65404 120452 130808 240904 261616 481808 523232 963616 1046464 1927232 2499379 4998758 5932261 9997516 11864522 19995032 23729044 39990064 47458088 79980128 94916176 159960256 189832352 379664704 492377663 984755326 1969510652 3939021304 7878042608 15756085216 31512170432