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9070632039001 = 1347122512
BaseRepresentation
bin1000001111111110101111…
…0011001111001001011001
31012010010212221110011201211
42003333223303033021121
52142103123300222001
631142554004143121
71624221501124231
oct203775363171131
935103787404654
109070632039001
112987919351485
121025b48397aa1
1350a484240000
14235041624cc1
1510ae34538351
hex83febccf259

9070632039001 has 45 divisors (see below), whose sum is σ = 10006708916249. Its totient is φ = 8222074770000.

The previous prime is 9070632038947. The next prime is 9070632039017. The reversal of 9070632039001 is 1009302360709.

The square root of 9070632039001 is 3011749.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4497364248601 + 4573267790400 = 2120699^2 + 2138520^2 .

It is not a de Polignac number, because 9070632039001 - 213 = 9070632030809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9070632039041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36137976126 + ... + 36137976376.

Almost surely, 29070632039001 is an apocalyptic number.

9070632039001 is the 3011749-th square number.

9070632039001 is the 1505875-th centered octagonal number.

It is an amenable number.

9070632039001 is a deficient number, since it is larger than the sum of its proper divisors (936076877248).

9070632039001 is an frugal number, since it uses more digits than its factorization.

9070632039001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The spelling of 9070632039001 in words is "nine trillion, seventy billion, six hundred thirty-two million, thirty-nine thousand, one".

Divisors: 1 13 71 169 251 923 2197 3263 5041 11999 17821 28561 42419 63001 65533 155987 231673 551447 819013 851929 1265291 2027831 3011749 4473071 7168811 10647169 11075077 16448783 39152737 58149923 138413197 143976001 213834179 317588041 508985581 755948999 1799371561 2779844327 4128644533 9827336987 36137976251 53672378929 127755380831 697740926077 9070632039001