Search a number
-
+
149017360063 = 11132477921589
BaseRepresentation
bin1000101011001000100…
…0000111011010111111
3112020122021110020021211
42022302020013122333
54420141421010223
6152242503105251
713523534442535
oct2126210073277
9466567406254
10149017360063
115821a462230
1224a69742227
131108ab0cc00
1472d9082155
153d226cbd0d
hex22b22076bf

149017360063 has 48 divisors (see below), whose sum is σ = 182060697600. Its totient is φ = 120834080640.

The previous prime is 149017360061. The next prime is 149017360067. The reversal of 149017360063 is 360063710941.

149017360063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149017360063 - 21 = 149017360061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149017359998 and 149017360025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149017360061) 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 47 ways as a sum of consecutive naturals, for example, 6891673 + ... + 6913261.

It is an arithmetic number, because the mean of its divisors is an integer number (3792931200).

Almost surely, 2149017360063 is an apocalyptic number.

149017360063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

149017360063 is a deficient number, since it is larger than the sum of its proper divisors (33043337537).

149017360063 is a wasteful number, since it uses less digits than its factorization.

149017360063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752 (or 21739 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 149017360063 in words is "one hundred forty-nine billion, seventeen million, three hundred sixty thousand, sixty-three".

Divisors: 1 11 13 47 79 143 169 517 611 869 1027 1859 3713 6721 7943 11297 13351 21589 40843 48269 87373 146861 237479 280657 530959 627497 1014683 1705531 3087227 3648541 6902467 11161513 13190879 18760841 22171903 40133951 80159957 145099669 171481427 243890933 288234739 881759527 1042079441 1886295697 3170582129 11462873851 13547032733 149017360063