Search a number
-
+
51106420323224 = 2374122258893869
BaseRepresentation
bin10111001111011001001000…
…00001110111001110011000
320200221201121022012020121122
423213230210001313032120
523144311422100320344
6300405544304424412
713523213511122150
oct1347544401671630
9220851538166548
1051106420323224
1115314124a26a32
125894924918108
1322694126a2b76
14c897c7655760
155d95de0c3aee
hex2e7b24077398

51106420323224 has 32 divisors (see below), whose sum is σ = 112184825104800. Its totient is φ = 21368538113280.

The previous prime is 51106420323223. The next prime is 51106420323251. The reversal of 51106420323224 is 42232302460115.

It is a happy number.

51106420323224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511064203232242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51106420323223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11129444639 + ... + 11129449230.

It is an arithmetic number, because the mean of its divisors is an integer number (3505775784525).

Almost surely, 251106420323224 is an apocalyptic number.

It is an amenable number.

51106420323224 is an abundant number, since it is smaller than the sum of its proper divisors (61078404781576).

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

51106420323224 is a wasteful number, since it uses less digits than its factorization.

51106420323224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22258893923 (or 22258893919 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 51106420323224 its reverse (42232302460115), we get a palindrome (93338722783339).

The spelling of 51106420323224 in words is "fifty-one trillion, one hundred six billion, four hundred twenty million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 22258893869 44517787738 89035575476 155812257083 178071150952 311624514166 623249028332 912614648629 1246498056664 1825229297258 3650458594516 6388302540403 7300917189032 12776605080806 25553210161612 51106420323224