Search a number
-
+
150537706344 = 233219110042183
BaseRepresentation
bin1000110000110010111…
…1110001101101101000
3112101120020020211022100
42030030233301231220
54431300123100334
6153053413253400
713606315251144
oct2141457615550
9471506224270
10150537706344
115892a679963
1225212934260
1311270aa70ac
147400d60224
153db0de4c99
hex230cbf1b68

150537706344 has 48 divisors (see below), whose sum is σ = 429164517600. Its totient is φ = 47538222624.

The previous prime is 150537706327. The next prime is 150537706351. The reversal of 150537706344 is 443607735051.

150537706344 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 3 + 7 + 7 + 0 + 634 + 4 = 666.

150537706344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150537706344.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55019724 + ... + 55022459.

It is an arithmetic number, because the mean of its divisors is an integer number (8940927450).

Almost surely, 2150537706344 is an apocalyptic number.

It is an amenable number.

150537706344 is an abundant number, since it is smaller than the sum of its proper divisors (278626811256).

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

150537706344 is a wasteful number, since it uses less digits than its factorization.

150537706344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110042214 (or 110042207 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 150537706344 in words is "one hundred fifty billion, five hundred thirty-seven million, seven hundred six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 110042183 220084366 330126549 440168732 660253098 880337464 990379647 1320506196 1980759294 2090801477 2641012392 3961518588 4181602954 6272404431 7923037176 8363205908 12544808862 16726411816 18817213293 25089617724 37634426586 50179235448 75268853172 150537706344