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9230971891401 = 32131721012702977
BaseRepresentation
bin1000011001010100000011…
…0011001110111011001001
31012200110202022011121120200
42012111000303032323021
52202220012301011101
631344352215442413
71641626042311611
oct206250063167311
935613668147520
109230971891401
112a39918a88797
121051035986409
1351c627a1c010
1423cad2323a41
151101bac57986
hex86540cceec9

9230971891401 has 72 divisors (see below), whose sum is σ = 15404671662744. Its totient is φ = 5293508198400.

The previous prime is 9230971891399. The next prime is 9230971891411. The reversal of 9230971891401 is 1041981790329.

9230971891401 is a `hidden beast` number, since 9 + 230 + 97 + 189 + 140 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 50344589376 + 9180627302025 = 224376^2 + 3029955^2 .

It is not a de Polignac number, because 9230971891401 - 21 = 9230971891399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9230971891411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2063625 + ... + 4766601.

Almost surely, 29230971891401 is an apocalyptic number.

It is an amenable number.

9230971891401 is a deficient number, since it is larger than the sum of its proper divisors (6173699771343).

9230971891401 is a wasteful number, since it uses less digits than its factorization.

9230971891401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703131 (or 2703111 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 9230971891401 in words is "nine trillion, two hundred thirty billion, nine hundred seventy-one million, eight hundred ninety-one thousand, four hundred one".

Divisors: 1 3 9 13 17 39 51 101 117 153 221 289 303 663 867 909 1313 1717 1989 2601 3757 3939 5151 11271 11817 15453 22321 29189 33813 66963 87567 200889 262701 379457 1138371 2702977 3415113 8108931 24326793 35138701 45950609 105416103 137851827 273000677 316248309 413555481 597357917 781160353 819002031 1792073751 2343481059 2457006093 3549008801 4641011509 5376221253 7030443177 10155084589 10647026403 13923034527 30465253767 31941079209 41769103581 60333149617 78897195653 91395761301 180999448851 236691586959 542998346553 710074760877 1025663543489 3076990630467 9230971891401