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9983529157 = 73171997929
BaseRepresentation
bin10010100110001000…
…01001000011000101
3221202202202211101011
421103010021003011
5130421240413112
64330353402221
7502254412000
oct112304110305
927682684334
109983529157
114263495248
121b27569371
13c31471504
146a9cb6537
153d6707aa7
hex2531090c5

9983529157 has 64 divisors (see below), whose sum is σ = 13124160000. Its totient is φ = 7543259136.

The previous prime is 9983529131. The next prime is 9983529187. The reversal of 9983529157 is 7519253899.

It is not a de Polignac number, because 9983529157 - 219 = 9983004869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983529187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10746069 + ... + 10746997.

It is an arithmetic number, because the mean of its divisors is an integer number (205065000).

Almost surely, 29983529157 is an apocalyptic number.

9983529157 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

9983529157 is a deficient number, since it is larger than the sum of its proper divisors (3140630843).

9983529157 is a wasteful number, since it uses less digits than its factorization.

9983529157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 58.

The square root of 9983529157 is about 99917.6118459604. The cubic root of 9983529157 is about 2153.2511948373.

The spelling of 9983529157 in words is "nine billion, nine hundred eighty-three million, five hundred twenty-nine thousand, one hundred fifty-seven".

Divisors: 1 7 17 19 49 97 119 133 323 343 679 833 929 931 1649 1843 2261 4753 5831 6503 6517 11543 12901 15793 15827 17651 31331 33271 45521 80801 90113 90307 110551 110789 123557 219317 300067 318647 565607 630791 632149 773857 864899 1531921 1535219 1712147 2100469 4415537 5416999 6054293 10723447 10746533 11985029 14703283 29106499 30908759 75064129 83895203 102922981 203745493 525448903 587266421 1426218451 9983529157