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631138091364 = 2232112120372
BaseRepresentation
bin10010010111100101100…
…00110000000101100100
32020100002002122222201100
421023302300300011210
540320032322410424
61201535115400100
763412122155334
oct11136260600544
92210062588640
10631138091364
11223733aa9500
12a239aa53030
1347692a4c141
14227939050c4
151163d853dc9
hex92f2c30164

631138091364 has 81 divisors (see below), whose sum is σ = 1753741728921. Its totient is φ = 191238078240.

The previous prime is 631138091347. The next prime is 631138091387. The reversal of 631138091364 is 463190831136.

It is a happy number.

The square root of 631138091364 is 794442.

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

631138091364 is a `hidden beast` number, since 631 + 1 + 3 + 8 + 0 + 9 + 1 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5127992100 + 626010099264 = 71610^2 + 791208^2 .

It is a super-2 number, since 2×6311380913642 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52427154 + ... + 52439190.

Almost surely, 2631138091364 is an apocalyptic number.

631138091364 is the 794442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631138091364

631138091364 is an abundant number, since it is smaller than the sum of its proper divisors (1122603637557).

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

631138091364 is a wasteful number, since it uses less digits than its factorization.

631138091364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24106 (or 12053 counting only the distinct ones).

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

The spelling of 631138091364 in words is "six hundred thirty-one billion, one hundred thirty-eight million, ninety-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 12037 24074 36111 48148 72222 108333 132407 144444 216666 264814 397221 433332 529628 794442 1191663 1456477 1588884 2383326 2912954 4369431 4766652 5825908 8738862 13108293 17477724 26216586 52433172 144889369 289778738 434668107 579557476 869336214 1304004321 1593783059 1738672428 2608008642 3187566118 4781349177 5216017284 6375132236 9562698354 14344047531 17531613649 19125396708 28688095062 35063227298 52594840947 57376190124 70126454596 105189681894 157784522841 210379363788 315569045682 631138091364