Search a number
-
+
97224845590756 = 2213254127012
BaseRepresentation
bin10110000110110011101100…
…011000101000000011100100
3110202020121022122200201111001
4112012303230120220003210
5100220412440432401011
6542440251044323044
726323156210650622
oct2606635430500344
9422217278621431
1097224845590756
1128a84909764784
12aaa29b00a3484
134233357187900
141a019c9a6c512
15b390948717c1
hex586cec6280e4

97224845590756 has 81 divisors (see below), whose sum is σ = 184843070918289. Its totient is φ = 44726166576000.

The previous prime is 97224845590751. The next prime is 97224845590787. The reversal of 97224845590756 is 65709554842279.

The square root of 97224845590756 is 9860266.

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

97224845590756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 57183995240100 + 40040850350656 = 7562010^2 + 6327784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97224845590751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138694501206 + ... + 138694501906.

Almost surely, 297224845590756 is an apocalyptic number.

97224845590756 is the 9860266-th square number.

It is an amenable number.

97224845590756 is a deficient number, since it is larger than the sum of its proper divisors (87618225327533).

97224845590756 is an frugal number, since it uses more digits than its factorization.

97224845590756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 73.

The spelling of 97224845590756 in words is "ninety-seven trillion, two hundred twenty-four billion, eight hundred forty-five million, five hundred ninety thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 26 52 169 338 541 676 701 1082 1402 2164 2804 7033 9113 14066 18226 28132 36452 91429 118469 182858 236938 292681 365716 379241 473876 491401 585362 758482 982802 1170724 1516964 1965604 3804853 4930133 6388213 7609706 9860266 12776426 15219412 19720532 25552852 49463089 64091729 83046769 98926178 128183458 166093538 197852356 205169381 256366916 265847941 332187076 410338762 531695882 820677524 1063391764 2667201953 3456023233 5334403906 6912046466 10668807812 13824092932 34673625389 44928302029 69347250778 89856604058 138694501556 143823736081 179713208116 287647472162 575294944324 1869708569053 3739417138106 7478834276212 24306211397689 48612422795378 97224845590756