Search a number
-
+
254450551968 = 25326397138113
BaseRepresentation
bin1110110011111001101…
…1110100110010100000
3220022210002121022200100
43230332123310302200
513132103320130333
6312520514222400
724245344001634
oct3547633646240
9808702538610
10254450551968
1198a03780878
1241392b84a00
131acc11415b2
14c45b928dc4
1569438db213
hex3b3e6f4ca0

254450551968 has 72 divisors (see below), whose sum is σ = 723712111668. Its totient is φ = 84802977792.

The previous prime is 254450551939. The next prime is 254450551981. The reversal of 254450551968 is 869155054452.

254450551968 is a `hidden beast` number, since 2 + 5 + 44 + 505 + 5 + 1 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211795084944 + 42655467024 = 460212^2 + 206532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773280 + ... + 1911392.

Almost surely, 2254450551968 is an apocalyptic number.

It is an amenable number.

254450551968 is an abundant number, since it is smaller than the sum of its proper divisors (469261559700).

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

254450551968 is a wasteful number, since it uses less digits than its factorization.

254450551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144526 (or 144515 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 254450551968 in words is "two hundred fifty-four billion, four hundred fifty million, five hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6397 12794 19191 25588 38382 51176 57573 76764 102352 115146 138113 153528 204704 230292 276226 307056 414339 460584 552452 614112 828678 921168 1104904 1243017 1657356 1842336 2209808 2486034 3314712 4419616 4972068 6629424 9944136 13258848 19888272 39776544 883508861 1767017722 2650526583 3534035444 5301053166 7068070888 7951579749 10602106332 14136141776 15903159498 21204212664 28272283552 31806318996 42408425328 63612637992 84816850656 127225275984 254450551968