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9463430960361 = 327417212312
BaseRepresentation
bin1000100110110110000001…
…1100001101010011101001
31020111200202202220211220100
42021231200130031103221
52220022101311212421
632043235024220013
71664465432640000
oct211554034152351
936450682824810
109463430960361
11301946707a914
12108a0aba6a609
13538522a01171
1424a065287c37
15116273b48c26
hex89b6070d4e9

9463430960361 has 135 divisors (see below), whose sum is σ = 16953676179063. Its totient is φ = 5085441809280.

The previous prime is 9463430960309. The next prime is 9463430960363. The reversal of 9463430960361 is 1630690343649.

The square root of 9463430960361 is 3076269.

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

9463430960361 is a `hidden beast` number, since 9 + 4 + 63 + 430 + 96 + 0 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7367723066025 + 2095707894336 = 2714355^2 + 1447656^2 .

It is not a de Polignac number, because 9463430960361 - 29 = 9463430959849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9463430960298 and 9463430960307.

It is not an unprimeable number, because it can be changed into a prime (9463430960363) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7687595616 + ... + 7687596846.

Almost surely, 29463430960361 is an apocalyptic number.

9463430960361 is the 3076269-th square number.

9463430960361 is the 1538135-th centered octagonal number.

It is an amenable number.

9463430960361 is a deficient number, since it is larger than the sum of its proper divisors (7490245218702).

9463430960361 is an frugal number, since it uses more digits than its factorization.

9463430960361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 9463430960361 in words is "nine trillion, four hundred sixty-three billion, four hundred thirty million, nine hundred sixty thousand, three hundred sixty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 343 357 441 833 867 1029 1071 1231 2023 2401 2499 2601 3087 3693 5831 6069 7203 7497 8617 11079 14161 17493 18207 20927 21609 25851 40817 42483 52479 60319 62781 77553 99127 122451 127449 146489 180957 188343 297381 355759 367353 422233 439467 542871 693889 892143 1025423 1067277 1266699 1318401 1515361 2081667 2490313 2955631 3076269 3201831 3800097 4546083 6245001 7177961 7470939 8866893 9228807 10607527 13638249 17432191 21533883 22412817 25761137 26600679 31822581 50245727 52296573 64601649 74252689 77283411 95467743 122025337 150737181 156889719 180327959 222758067 231850233 366076011 437939329 452211543 519768823 540983877 668274201 854177359 1098228033 1262295713 1313817987 1559306469 1622951631 2562532077 3065575303 3638381761 3786887139 3941453961 4677919407 7687596231 8836069991 9196725909 10915145283 11360661417 21459027121 26508209973 27590177727 32745435849 61852489937 64377081363 79524629919 150213189847 185557469811 193131244089 450639569541 556672409433 1051492328929 1351918708623 3154476986787 9463430960361