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9729058007 = 677910118199
BaseRepresentation
bin10010000111110010…
…11010010011010111
3221010000221100120202
421003321122103113
5124411114324012
64245223251115
7463044425414
oct110371322327
927100840522
109729058007
114142888309
121a762a9a9b
13bc0824976
1468419510b
153be1ddcc2
hex243e5a4d7

9729058007 has 16 divisors (see below), whose sum is σ = 10098816000. Its totient is φ = 9368330400.

The previous prime is 9729057979. The next prime is 9729058013. The reversal of 9729058007 is 7008509279.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9729058007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9729058037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525494 + ... + 543692.

It is an arithmetic number, because the mean of its divisors is an integer number (631176000).

Almost surely, 29729058007 is an apocalyptic number.

9729058007 is a deficient number, since it is larger than the sum of its proper divisors (369757993).

9729058007 is a wasteful number, since it uses less digits than its factorization.

9729058007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18446.

The product of its (nonzero) digits is 317520, while the sum is 47.

The square root of 9729058007 is about 98635.9873829020. The cubic root of 9729058007 is about 2134.7987061837.

The spelling of 9729058007 in words is "nine billion, seven hundred twenty-nine million, fifty-eight thousand, seven".

Divisors: 1 67 79 101 5293 6767 7979 18199 534593 1219333 1437721 1838099 96327307 123152633 145209821 9729058007