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9728959905 = 325741753307
BaseRepresentation
bin10010000111110010…
…00010010110100001
3221010000202101000100
421003321002112201
5124411103204110
64245221213013
7463043536410
oct110371022641
927100671010
109728959905
114142820635
121a76261169
13bc07bc112
1468416b477
153be1bebc0
hex243e425a1

9728959905 has 48 divisors (see below), whose sum is σ = 19742696064. Its totient is φ = 4339042560.

The previous prime is 9728959897. The next prime is 9728959943. The reversal of 9728959905 is 5099598279.

It is not a de Polignac number, because 9728959905 - 23 = 9728959897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363739 + ... + 389568.

It is an arithmetic number, because the mean of its divisors is an integer number (411306168).

Almost surely, 29728959905 is an apocalyptic number.

It is an amenable number.

9728959905 is an abundant number, since it is smaller than the sum of its proper divisors (10013736159).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9728959905 is a wasteful number, since it uses less digits than its factorization.

9728959905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753366 (or 753363 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The square root of 9728959905 is about 98635.4900885072. The cubic root of 9728959905 is about 2134.7915308153.

The spelling of 9728959905 in words is "nine billion, seven hundred twenty-eight million, nine hundred fifty-nine thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 753307 2259921 3766535 5273149 6779763 11299605 15819447 26365745 30885587 33898815 47458341 79097235 92656761 154427935 216199109 237291705 277970283 463283805 648597327 1080995545 1389851415 1945791981 3242986635 9728959905