Search a number
-
+
97594443420100 = 2252112898092
BaseRepresentation
bin10110001100001011111010…
…001000011101000111000100
3110210112221022120012210200021
4112030023322020131013010
5100242441410003420400
6543322133544424524
726361652200450604
oct2614137210350704
9423487276183607
1097594443420100
1129107631035300
12ab42559778144
13425c16900c553
141a1584c218c04
15b439c719e71a
hex58c2fa21d1c4

97594443420100 has 81 divisors (see below), whose sum is σ = 232785503704551. Its totient is φ = 35488493356800.

The previous prime is 97594443420059. The next prime is 97594443420137. The reversal of 97594443420100 is 102434449579.

The square root of 97594443420100 is 9878990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13142901598596 + 84451541821504 = 3625314^2 + 9189752^2 .

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, 1086643996 + ... + 1086733804.

Almost surely, 297594443420100 is an apocalyptic number.

97594443420100 is the 9878990-th square number.

It is an amenable number.

97594443420100 is an abundant number, since it is smaller than the sum of its proper divisors (135191060284451).

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

97594443420100 is an frugal number, since it uses more digits than its factorization.

97594443420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179654 (or 89827 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

Adding to 97594443420100 its reverse (102434449579), we get a palindrome (97696877869679).

The spelling of 97594443420100 in words is "ninety-seven trillion, five hundred ninety-four billion, four hundred forty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 89809 179618 359236 449045 898090 987899 1796180 1975798 2245225 3951596 4490450 4939495 8980900 9878990 10866889 19757980 21733778 24697475 43467556 49394950 54334445 98789900 108668890 217337780 271672225 543344450 1086688900 8065656481 16131312962 32262625924 40328282405 80656564810 88722221291 161313129620 177444442582 201641412025 354888885164 403282824050 443611106455 806565648100 887222212910 975944434201 1774444425820 1951888868402 2218055532275 3903777736804 4436111064550 4879722171005 8872222129100 9759444342010 19518888684020 24398610855025 48797221710050 97594443420100