Search a number
-
+
21746322364712 = 2311523147240929
BaseRepresentation
bin1001111000111001101011…
…10100011101100100101000
32211222221001121002021022012
410330130311310131210220
510322242432011132322
6114130042251015052
74403056066141301
oct474346564354450
984887047067265
1021746322364712
116a2462205a870
1225326bb43a488
13c1989189616a
14552755adb7a8
1527aa1224eae2
hex13c735d1d928

21746322364712 has 32 divisors (see below), whose sum is σ = 44489618236800. Its totient is φ = 9882802137600.

The previous prime is 21746322364691. The next prime is 21746322364747.

21746322364712 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 23160137 + ... + 24080792.

It is an arithmetic number, because the mean of its divisors is an integer number (1390300569900).

Almost surely, 221746322364712 is an apocalyptic number.

21746322364712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21746322364712 is an abundant number, since it is smaller than the sum of its proper divisors (22743295872088).

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

21746322364712 is a wasteful number, since it uses less digits than its factorization.

21746322364712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47246177 (or 47246173 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

The spelling of 21746322364712 in words is "twenty-one trillion, seven hundred forty-six billion, three hundred twenty-two million, three hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 5231 10462 20924 41848 57541 115082 230164 460328 47240929 94481858 188963716 377927432 519650219 1039300438 2078600876 4157201752 247117299599 494234599198 988469198396 1976938396792 2718290295589 5436580591178 10873161182356 21746322364712