Search a number
-
+
972947311230 = 23523263197159
BaseRepresentation
bin11100010100010000010…
…11011100101001111110
310110000100101000110001010
432022020023130221332
5111420044002424410
62022544341300050
7130202353456206
oct16121013345176
93400311013033
10972947311230
11345696435474
12138692104626
13709966caaab
143513b60b406
151a496774c20
hexe2882dca7e

972947311230 has 96 divisors (see below), whose sum is σ = 2444906257920. Its totient is φ = 247776217920.

The previous prime is 972947311223. The next prime is 972947311291. The reversal of 972947311230 is 32113749279.

972947311230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9729473112302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 972947311230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9965391 + ... + 10062549.

It is an arithmetic number, because the mean of its divisors is an integer number (25467773520).

Almost surely, 2972947311230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972947311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222453128960).

972947311230 is an abundant number, since it is smaller than the sum of its proper divisors (1471958946690).

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

972947311230 is a wasteful number, since it uses less digits than its factorization.

972947311230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97846 (or 97823 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 972947311230 in words is "nine hundred seventy-two billion, nine hundred forty-seven million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 631 690 1058 1262 1587 1893 2645 3155 3174 3786 5290 6310 7935 9465 14513 15870 18930 29026 43539 72565 87078 97159 145130 194318 217695 291477 333799 435390 485795 582954 667598 971590 1001397 1457385 1668995 2002794 2234657 2914770 3337990 4469314 5006985 6703971 10013970 11173285 13407942 22346570 33519855 51397111 61307329 67039710 102794222 122614658 154191333 183921987 256985555 306536645 308382666 367843974 513971110 613073290 770956665 919609935 1410068567 1541913330 1839219870 2820137134 4230205701 7050342835 8460411402 14100685670 21151028505 32431577041 42302057010 64863154082 97294731123 162157885205 194589462246 324315770410 486473655615 972947311230