Search a number
-
+
105561446146 = 21337213122639
BaseRepresentation
bin110001001001111110…
…0111101011100000010
3101002110202111002010121
41202103330331130002
53212142212234041
6120254432050454
710424624326132
oct1422374753402
9332422432117
10105561446146
114084a758992
1218560393a2a
139c53a88690
145175910ac2
152b2c5e57d1
hex1893f3d702

105561446146 has 48 divisors (see below), whose sum is σ = 176601237120. Its totient is φ = 47039952960.

The previous prime is 105561446141. The next prime is 105561446167. The reversal of 105561446146 is 641644165501.

It is a super-2 number, since 2×1055614461462 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105561446141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4651495 + ... + 4674133.

It is an arithmetic number, because the mean of its divisors is an integer number (3679192440).

Almost surely, 2105561446146 is an apocalyptic number.

105561446146 is a deficient number, since it is larger than the sum of its proper divisors (71039790974).

105561446146 is a wasteful number, since it uses less digits than its factorization.

105561446146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22859 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 105561446146 in words is "one hundred five billion, five hundred sixty-one million, four hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 13 26 37 74 131 262 481 962 1369 1703 2738 3406 4847 9694 17797 22639 35594 45278 63011 126022 179339 294307 358678 588614 837643 1675286 2331407 2965709 4662814 5931418 10889359 21778718 30992791 38554217 61985582 77108434 109731233 219462466 402906283 805812566 1426506029 2853012058 4060055621 8120111242 52780723073 105561446146