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97041452325444 = 22321121492572
BaseRepresentation
bin10110000100001000111001…
…010010110101101001000100
3110201121001221122220120022100
4112010020321102311221010
5100204411343243403234
6542220121110232100
726304004436633004
oct2604107122655104
9421531848816270
1097041452325444
1128a14059a77100
12aa7334a055630
13421bc7b537a83
1419d6b8d33a004
15b3440e2e1399
hex5842394b5a44

97041452325444 has 81 divisors (see below), whose sum is σ = 269628229218621. Its totient is φ = 29406303685440.

The previous prime is 97041452325413. The next prime is 97041452325473. The reversal of 97041452325444 is 44452325414079.

The square root of 97041452325444 is 9850962.

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

97041452325444 is a `hidden beast` number, since 9 + 7 + 0 + 4 + 14 + 52 + 32 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86681499884100 + 10359952441344 = 9310290^2 + 3218688^2 .

It is a super-3 number, since 3×970414523254443 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 650088864 + ... + 650238120.

Almost surely, 297041452325444 is an apocalyptic number.

97041452325444 is the 9850962-nd square number.

It is an amenable number.

97041452325444 is an abundant number, since it is smaller than the sum of its proper divisors (172586776893177).

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

97041452325444 is an equidigital number, since it uses as much as digits as its factorization.

97041452325444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298546 (or 149273 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 97041452325444 in words is "ninety-seven trillion, forty-one billion, four hundred fifty-two million, three hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 149257 298514 447771 597028 895542 1343313 1641827 1791084 2686626 3283654 4925481 5373252 6567308 9850962 14776443 18060097 19701924 29552886 36120194 54180291 59105772 72240388 108360582 162540873 216721164 325081746 650163492 22277652049 44555304098 66832956147 89110608196 133665912294 200498868441 245054172539 267331824588 400997736882 490108345078 735162517617 801995473764 980216690156 1470325035234 2205487552851 2695595897929 2940650070468 4410975105702 5391191795858 8086787693787 8821950211404 10782383591716 16173575387574 24260363081361 32347150775148 48520726162722 97041452325444