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201939844986916 = 2243237324432
BaseRepresentation
bin101101111010100111001000…
…101110011111100000100100
3222111000021001000012121210221
4231322213020232133200210
5202432040300304040131
61553253514543454124
760351446416535641
oct5572471056374044
9874007030177727
10201939844986916
1159387230a30493
121a7953655b7344
13888aacbc3044a
1437c1d251ccdc8
151852dbade9411
hexb7a9c8b9f824

201939844986916 has 81 divisors (see below), whose sum is σ = 363597681685329. Its totient is φ = 98135357497632.

The previous prime is 201939844986899. The next prime is 201939844986991. The reversal of 201939844986916 is 619689448939102.

The square root of 201939844986916 is 14210554.

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., 109766481302500 + 92173363684416 = 10476950^2 + 9600696^2 .

It is a super-2 number, since 2×2019398449869162 (a number of 29 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 26 ways as a sum of consecutive naturals, for example, 455846150991 + ... + 455846151433.

Almost surely, 2201939844986916 is an apocalyptic number.

201939844986916 is the 14210554-th square number.

It is an amenable number.

201939844986916 is a deficient number, since it is larger than the sum of its proper divisors (161657836698413).

201939844986916 is an frugal number, since it uses more digits than its factorization.

201939844986916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 79.

The spelling of 201939844986916 in words is "two hundred one trillion, nine hundred thirty-nine billion, eight hundred forty-four million, nine hundred eighty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 43 86 172 373 443 746 886 1492 1772 1849 3698 7396 16039 19049 32078 38098 64156 76196 139129 165239 196249 278258 330478 392498 556516 660956 689677 784996 819107 1379354 1638214 2758708 3276428 5982547 7105277 8438707 11965094 14210554 16877414 23930188 28421108 33754828 61634147 73200877 123268294 146401754 246536588 257249521 292803508 305526911 362864401 514499042 611053822 725728802 1028998084 1222107644 1451457604 2650268321 3147637711 5300536642 6295275422 10601073284 12590550844 27303927121 54607854242 109215708484 113961537803 135348421573 227923075606 270696843146 455846151212 541393686292 1174068866203 2348137732406 4696275464812 50484961246729 100969922493458 201939844986916