Search a number
-
+
31942219072 = 264312791393
BaseRepresentation
bin11101101111111001…
…111001010101000000
310001110002220212001211
4131233321321111000
51010404202002242
622401332335504
72210362245061
oct355771712500
9101402825054
1031942219072
1112601605a65
126235474594
13302088b55a
141790382568
15c6e3c6317
hex76fe79540

31942219072 has 56 divisors (see below), whose sum is σ = 65370838016. Its totient is φ = 15476686848.

The previous prime is 31942219063. The next prime is 31942219093. The reversal of 31942219072 is 27091224913.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303808 + ... + 395200.

Almost surely, 231942219072 is an apocalyptic number.

31942219072 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 31942219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32685419008).

31942219072 is an abundant number, since it is smaller than the sum of its proper divisors (33428618944).

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

31942219072 is a wasteful number, since it uses less digits than its factorization.

31942219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91575 (or 91565 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 31942219072 in words is "thirty-one billion, nine hundred forty-two million, two hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 127 172 254 344 508 688 1016 1376 2032 2752 4064 5461 8128 10922 21844 43688 87376 91393 174752 182786 349504 365572 731144 1462288 2924576 3929899 5849152 7859798 11606911 15719596 23213822 31439192 46427644 62878384 92855288 125756768 185710576 251513536 371421152 499097173 742842304 998194346 1996388692 3992777384 7985554768 15971109536 31942219072