Search a number
-
+
146561294565 = 3357155091317
BaseRepresentation
bin1000100001111110111…
…0111110000011100101
3112000022002221011211000
42020133232332003211
54400124142411230
6151155045103513
713405632306660
oct2103756760345
9460262834730
10146561294565
115717a036934
12244a30b7b99
1310a8902410a
147144bca6d7
153c2bc7db60
hex221fbbe0e5

146561294565 has 32 divisors (see below), whose sum is σ = 297775330560. Its totient is φ = 66999448512.

The previous prime is 146561294519. The next prime is 146561294609. The reversal of 146561294565 is 565492165641.

It is a happy number.

146561294565 is a `hidden beast` number, since 1 + 4 + 6 + 56 + 1 + 29 + 4 + 565 = 666.

It is not a de Polignac number, because 146561294565 - 220 = 146560245989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77544714 + ... + 77546603.

It is an arithmetic number, because the mean of its divisors is an integer number (9305479080).

Almost surely, 2146561294565 is an apocalyptic number.

146561294565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146561294565 is an abundant number, since it is smaller than the sum of its proper divisors (151214035995).

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

146561294565 is a wasteful number, since it uses less digits than its factorization.

146561294565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155091338 (or 155091332 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 146561294565 in words is "one hundred forty-six billion, five hundred sixty-one million, two hundred ninety-four thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 155091317 465273951 775456585 1085639219 1395821853 2326369755 3256917657 4187465559 5428196095 6979109265 9770752971 16284588285 20937327795 29312258913 48853764855 146561294565