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30832901649 = 321121723132
BaseRepresentation
bin11100101101110010…
…001011111000010001
32221120210112200122100
4130231302023320101
51001121210323044
622055304031013
72141032224354
oct345562137021
987523480570
1030832901649
1112092407400
125b85a62469
132ba4ac7904
1416c6cda29b
15c06cee869
hex72dc8be11

30832901649 has 81 divisors (see below), whose sum is σ = 52168911249. Its totient is φ = 17531205120.

The previous prime is 30832901647. The next prime is 30832901653. The reversal of 30832901649 is 94610923803.

It is a happy number.

The square root of 30832901649 is 175593.

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

30832901649 is a `hidden beast` number, since 308 + 3 + 290 + 16 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4899020049 + 25933881600 = 69993^2 + 161040^2 .

It is not a de Polignac number, because 30832901649 - 21 = 30832901647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30832901641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98507517 + ... + 98507829.

Almost surely, 230832901649 is an apocalyptic number.

30832901649 is the 175593-rd square number.

30832901649 is the 87797-th centered octagonal number.

It is an amenable number.

30832901649 is a deficient number, since it is larger than the sum of its proper divisors (21336009600).

30832901649 is a wasteful number, since it uses less digits than its factorization.

30832901649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 30832901649 in words is "thirty billion, eight hundred thirty-two million, nine hundred one thousand, six hundred forty-nine".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 313 363 561 867 939 1089 1683 2057 2601 2817 3179 3443 5321 6171 9537 10329 15963 18513 28611 30987 34969 37873 47889 58531 90457 97969 104907 113619 175593 271371 293907 314721 340857 526779 643841 814113 881721 995027 1077659 1665473 1931523 2985081 3232977 4996419 5794569 8955243 9698931 10945297 11854249 14989257 18320203 28313041 32835891 35562747 54960609 84939123 98507673 106688241 164881827 201522233 254817369 311443451 604566699 934330353 1813700097 2802991059 3425877961 10277633883 30832901649