Search a number
-
+
146602454769 = 382921632
BaseRepresentation
bin1000100010001000101…
…1111110111011110001
3112000101222101100000000
42020202023332323301
54400220212023034
6151203115220213
713406642206401
oct2104213767361
9460358340000
10146602454769
11571a029a131
12244b4a47669
1310a94705a74
14714a462801
153c306ae599
hex22222feef1

146602454769 has 81 divisors (see below), whose sum is σ = 229142203563. Its totient is φ = 93785873328.

The previous prime is 146602454731. The next prime is 146602454839. The reversal of 146602454769 is 967454206641.

The square root of 146602454769 is 382887.

It is a perfect power (a square), and thus also a powerful number.

146602454769 is a `hidden beast` number, since 14 + 6 + 6 + 0 + 24 + 547 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76874771169 + 69727683600 = 277263^2 + 264060^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 146602454769 - 231 = 144454971121 is a prime.

It is a super-2 number, since 2×1466024547692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146602452769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 899401482 + ... + 899401644.

Almost surely, 2146602454769 is an apocalyptic number.

146602454769 is the 382887-th square number.

146602454769 is the 191444-th centered octagonal number.

It is an amenable number.

146602454769 is a deficient number, since it is larger than the sum of its proper divisors (82539748794).

146602454769 is an frugal number, since it uses more digits than its factorization.

146602454769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 146602454769 in words is "one hundred forty-six billion, six hundred two million, four hundred fifty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 29 81 87 163 243 261 489 729 783 841 1467 2187 2349 2523 4401 4727 6561 7047 7569 13203 14181 21141 22707 26569 39609 42543 63423 68121 79707 118827 127629 137083 190269 204363 239121 356481 382887 411249 613089 717363 770501 1069443 1148661 1233747 1839267 2152089 2311503 3445983 3701241 5517801 6456267 6934509 10337949 11103723 19368801 20803527 22344529 31013847 33311169 58106403 62410581 67033587 99933507 174319209 187231743 201100761 299800521 561695229 603302283 899401563 1685085687 1809906849 5055257061 5429720547 16289161641 48867484923 146602454769