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201363997696 = 2103723792
BaseRepresentation
bin1011101110001000111…
…0101100010000000000
3201020202101212221120121
42323202032230100000
511244343140411241
6232301053150024
720355662511451
oct2734216542000
9636671787517
10201363997696
11784417aa924
123303848b314
1315cb0aa38c4
149a63301128
1553880a6ad1
hex2ee23ac400

201363997696 has 99 divisors (see below), whose sum is σ = 414799058709. Its totient is φ = 97702391808.

The previous prime is 201363997673. The next prime is 201363997871. The reversal of 201363997696 is 696799363102.

The square root of 201363997696 is 448736.

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

It can be written as a sum of positive squares in only one way, i.e., 180183270400 + 21180727296 = 424480^2 + 145536^2 .

It is a super-2 number, since 2×2013639976962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 531303235 + ... + 531303613.

Almost surely, 2201363997696 is an apocalyptic number.

201363997696 is the 448736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201363997696

201363997696 is an abundant number, since it is smaller than the sum of its proper divisors (213435061013).

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

201363997696 is an frugal number, since it uses more digits than its factorization.

201363997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 61.

The spelling of 201363997696 in words is "two hundred one billion, three hundred sixty-three million, nine hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 379 512 592 758 1024 1184 1369 1516 2368 2738 3032 4736 5476 6064 9472 10952 12128 14023 18944 21904 24256 28046 37888 43808 48512 56092 87616 97024 112184 143641 175232 194048 224368 287282 350464 388096 448736 518851 574564 700928 897472 1037702 1149128 1401856 1794944 2075404 2298256 3589888 4150808 4596512 5314717 7179776 8301616 9193024 10629434 14359552 16603232 18386048 21258868 33206464 36772096 42517736 66412928 73544192 85035472 132825856 147088384 170070944 196644529 265651712 340141888 393289058 531303424 680283776 786578116 1360567552 1573156232 2721135104 3146312464 5442270208 6292624928 12585249856 25170499712 50340999424 100681998848 201363997696