Search a number
-
+
197503803396 = 223217243572
BaseRepresentation
bin1011011111110000100…
…1001110000000000100
3200212210101020202111100
42313330021032000010
511213441433202041
6230422035540100
720161220425614
oct2677411160004
9625711222440
10197503803396
11768408257a9
123233b75a630
1315817121c73
1497b8780a44
15520e24a6b6
hex2dfc24e004

197503803396 has 81 divisors (see below), whose sum is σ = 530462364159. Its totient is φ = 61947756288.

The previous prime is 197503803373. The next prime is 197503803433. The reversal of 197503803396 is 693308305791.

The square root of 197503803396 is 444414.

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

197503803396 is a `hidden beast` number, since 19 + 7 + 503 + 8 + 0 + 33 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148698156996 + 48805646400 = 385614^2 + 220920^2 .

It is a super-2 number, since 2×1975038033962 (a number of 23 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, 45328050 + ... + 45332406.

Almost surely, 2197503803396 is an apocalyptic number.

197503803396 is the 444414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197503803396

197503803396 is an abundant number, since it is smaller than the sum of its proper divisors (332958560763).

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

197503803396 is an equidigital number, since it uses as much as digits as its factorization.

197503803396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 197503803396 in words is "one hundred ninety-seven billion, five hundred three million, eight hundred three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 4357 5202 8714 10404 13071 17428 26142 39213 52284 74069 78426 148138 156852 222207 296276 444414 666621 888828 1259173 1333242 2518346 2666484 3777519 5036692 7555038 11332557 15110076 18983449 22665114 37966898 45330228 56950347 75933796 113900694 170851041 227801388 322718633 341702082 645437266 683404164 968155899 1290874532 1936311798 2904467697 3872623596 5486216761 5808935394 10972433522 11617870788 16458650283 21944867044 32917300566 49375950849 65834601132 98751901698 197503803396