Search a number
-
+
528055005051 = 327312519911087
BaseRepresentation
bin1111010111100101000…
…01111110111101111011
31212111000001122122010200
413223302201332331323
532122424040130201
61042330215213243
753102460325110
oct7536241767573
91774001578120
10528055005051
11193a46313a92
1286410677223
133aa45587092
141b7b5210907
15db08b12386
hex7af287ef7b

528055005051 has 96 divisors (see below), whose sum is σ = 905158066176. Its totient is φ = 290287800000.

The previous prime is 528055005043. The next prime is 528055005059. The reversal of 528055005051 is 150500550825.

528055005051 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 550 + 0 + 50 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (528055005043) and next prime (528055005059).

It is not a de Polignac number, because 528055005051 - 23 = 528055005043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 528055004997 and 528055005015.

It is not an unprimeable number, because it can be changed into a prime (528055005059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485790630 + ... + 485791716.

It is an arithmetic number, because the mean of its divisors is an integer number (9428729856).

Almost surely, 2528055005051 is an apocalyptic number.

528055005051 is a deficient number, since it is larger than the sum of its proper divisors (377103061125).

528055005051 is a wasteful number, since it uses less digits than its factorization.

528055005051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

Adding to 528055005051 its reverse (150500550825), we get a palindrome (678555555876).

The spelling of 528055005051 in words is "five hundred twenty-eight billion, fifty-five million, five thousand, fifty-one".

Divisors: 1 3 7 9 21 31 63 93 217 251 279 651 753 991 1087 1757 1953 2259 2973 3261 5271 6937 7609 7781 8919 9783 15813 20811 22827 23343 30721 33697 54467 62433 68481 70029 92163 101091 163401 215047 235879 248741 272837 276489 303273 490203 645141 707637 746223 818511 1077217 1741187 1909859 1935423 2122911 2238669 2455533 3231651 5223561 5729577 7540519 7710971 8457947 9694953 15670683 17188731 22621557 23132913 25373841 33393727 53976797 59205629 67864671 69398739 76121523 100181181 161930391 177616887 233756089 270381467 300543543 485791173 532850661 701268267 811144401 1892670269 2103804801 2433433203 5678010807 8381825477 17034032421 25145476431 58672778339 75436429293 176018335017 528055005051