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1631163064212 = 223211103143927791
BaseRepresentation
bin10111101111001000111…
…001010001111110010100
312202221022120002011111200
4113233020321101332110
5203211110221023322
63245202421232500
7225563512164453
oct27571071217624
95687276064450
101631163064212
11579855030910
12224169262730
13baa8324c6c6
1458d3d3acb9a
152c66c39e8ac
hex17bc8e51f94

1631163064212 has 144 divisors (see below), whose sum is σ = 4545045872640. Its totient is φ = 489135124800.

The previous prime is 1631163064189. The next prime is 1631163064241. The reversal of 1631163064212 is 2124603611361.

1631163064212 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 1 + 6 + 3 + 0 + 642 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58680037 + ... + 58707827.

It is an arithmetic number, because the mean of its divisors is an integer number (31562818560).

Almost surely, 21631163064212 is an apocalyptic number.

1631163064212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631163064212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272522936320).

1631163064212 is an abundant number, since it is smaller than the sum of its proper divisors (2913882808428).

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

1631163064212 is a wasteful number, since it uses less digits than its factorization.

1631163064212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29354 (or 29349 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1631163064212 its reverse (2124603611361), we get a palindrome (3755766675573).

The spelling of 1631163064212 in words is "one trillion, six hundred thirty-one billion, one hundred sixty-three million, sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1439 1854 2266 2878 3399 3708 4317 4532 5756 6798 8634 10197 12951 13596 15829 17268 20394 25902 27791 31658 40788 47487 51804 55582 63316 83373 94974 111164 142461 148217 166746 189948 250119 284922 296434 305701 333492 444651 500238 569844 592868 611402 889302 917103 1000476 1222804 1333953 1630387 1778604 1834206 2667906 2751309 2862473 3260774 3668412 4891161 5335812 5502618 5724946 6521548 8587419 9782322 11005236 11449892 14673483 17174838 19564644 25762257 29346966 31487203 34349676 39991249 51524514 58693932 62974406 79982498 94461609 103049028 119973747 125948812 159964996 188923218 239947494 283384827 359921241 377846436 439903739 479894988 566769654 719842482 879807478 1133539308 1319711217 1439684964 1759614956 2639422434 3959133651 4119098647 5278844868 7918267302 8238197294 12357295941 15836534604 16476394588 24714591882 37071887823 45310085117 49429183764 74143775646 90620170234 135930255351 148287551292 181240340468 271860510702 407790766053 543721021404 815581532106 1631163064212