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9996200361 = 3672234
BaseRepresentation
bin10010100111101000…
…11110100110101001
3221210122121121000000
421103310132212221
5130433011402421
64331525133213
7502500205200
oct112364364651
927718547000
109996200361
11426a65a314
121b2b85a209
13c33c89b74
146ab854237
153d78ac226
hex253d1e9a9

9996200361 has 105 divisors (see below), whose sum is σ = 18226842861. Its totient is φ = 5463761688.

The previous prime is 9996200351. The next prime is 9996200393. The reversal of 9996200361 is 1630026999.

It is a happy number.

The square root of 9996200361 is 99981.

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

9996200361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9996200361 - 27 = 9996200233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9996200351) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 434617396 + ... + 434617418.

Almost surely, 29996200361 is an apocalyptic number.

9996200361 is the 99981-st square number.

9996200361 is the 49991-st centered octagonal number.

It is an amenable number.

9996200361 is a deficient number, since it is larger than the sum of its proper divisors (8230642500).

9996200361 is an frugal number, since it uses more digits than its factorization.

9996200361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The cubic root of 9996200361 is about 2154.1617863287.

The spelling of 9996200361 in words is "nine billion, nine hundred ninety-six million, two hundred thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 441 483 529 567 621 729 1127 1323 1449 1587 1701 1863 3381 3703 3969 4347 4761 5103 5589 10143 11109 11907 12167 13041 14283 16767 25921 30429 33327 35721 36501 39123 42849 77763 85169 91287 99981 109503 117369 128547 233289 255507 273861 279841 299943 328509 385641 596183 699867 766521 821583 839523 899829 985527 1788549 1958887 2099601 2299563 2518569 2699487 2956581 5365647 5876661 6298803 6898689 7555707 8869743 13712209 16096941 17629983 18896409 20696067 22667121 41136627 48290823 52889949 62088201 68001363 123409881 144872469 158669847 204004089 370229643 434617407 476009541 1110688929 1428028623 3332066787 9996200361