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630250129477089 = 32112619212292
BaseRepresentation
bin1000111101001101011000101…
…1000101100100110111100001
310001122112022202011022220111100
42033103112023011210313201
51130102004231121231324
610112232525030305013
7246516032512301352
oct21723261305446741
93048468664286440
10630250129477089
111728a9640559300
125a82a8451b8169
1321089441a9c504
14b18c3aa2d1d29
154cce3bb3394c9
hex23d358b164de1

630250129477089 has 81 divisors (see below), whose sum is σ = 1003080401320179. Its totient is φ = 381042404756640.

The previous prime is 630250129477079. The next prime is 630250129477121. The reversal of 630250129477089 is 980774921052036.

The square root of 630250129477089 is 25104783.

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

630250129477089 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 501 + 2 + 9 + 47 + 7 + 0 + 89 = 666.

630250129477089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 622071787828689 + 8178341648400 = 24941367^2 + 2859780^2 .

It is not a de Polignac number, because 630250129477089 - 25 = 630250129477057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (630250129477079) 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, 512815401727 + ... + 512815402955.

It is a 1-persistent number, because it is pandigital, but 2⋅630250129477089 = 1260500258954178 is not.

Almost surely, 2630250129477089 is an apocalyptic number.

630250129477089 is the 25104783-rd square number.

630250129477089 is the 12552392-nd centered octagonal number.

It is an amenable number.

630250129477089 is a deficient number, since it is larger than the sum of its proper divisors (372830271843090).

630250129477089 is an frugal number, since it uses more digits than its factorization.

630250129477089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 630250129477089 in words is "six hundred thirty trillion, two hundred fifty billion, one hundred twenty-nine million, four hundred seventy-seven thousand, eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 619 1089 1229 1857 3687 5571 6809 11061 13519 20427 40557 61281 74899 121671 148709 224697 383161 446127 674091 760751 1149483 1338381 1510441 2282253 3448449 4214771 4531323 6846759 8368261 12644313 13593969 16614851 25104783 37932939 46362481 49844553 75314349 92050871 139087443 149533659 182763361 276152613 417262329 470904869 548290083 828457839 934962979 1412714607 1644870249 2804888937 4238143821 5179953559 8414666811 10284592769 15539860677 30853778307 46619582031 56979489149 92561334921 113130520459 170938467447 339391561377 512815402341 578742084001 1018174684131 1736226252003 5208678756009 6366162924011 19098488772033 57295466316099 70027792164121 210083376492363 630250129477089