Search a number
-
+
7439974954452 = 22321761661301501
BaseRepresentation
bin110110001000100000100…
…0100000111010111010100
3222100020212122110102211200
41230101001010013113110
51433344032042020302
623453513255432500
71365343341450015
oct154210104072724
928306778412750
107439974954452
1124093039a1687
12a01b00685730
1341c781a8a371
141ba14d52700c
15cd7e67d381c
hex6c4411075d4

7439974954452 has 144 divisors (see below), whose sum is σ = 20270001168144. Its totient is φ = 2292364800000.

The previous prime is 7439974954421. The next prime is 7439974954463. The reversal of 7439974954452 is 2544594799347.

7439974954452 is a `hidden beast` number, since 7 + 4 + 3 + 9 + 9 + 74 + 9 + 544 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1009916462916 + 6430058491536 = 1004946^2 + 2535756^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24525702 + ... + 24827202.

It is an arithmetic number, because the mean of its divisors is an integer number (140763897001).

Almost surely, 27439974954452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7439974954452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135000584072).

7439974954452 is an abundant number, since it is smaller than the sum of its proper divisors (12830026213692).

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

7439974954452 is a wasteful number, since it uses less digits than its factorization.

7439974954452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302250 (or 302245 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 7439974954452 in words is "seven trillion, four hundred thirty-nine billion, nine hundred seventy-four million, nine hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 661 732 1037 1098 1322 1983 2074 2196 2644 3111 3966 4148 5949 6222 7932 9333 11237 11898 12444 18666 22474 23796 33711 37332 40321 44948 67422 80642 101133 120963 134844 161284 202266 241926 301501 362889 404532 483852 603002 685457 725778 904503 1206004 1370914 1451556 1809006 2056371 2713509 2741828 3618012 4112742 5125517 5427018 6169113 8225484 10251034 10854036 12338226 15376551 18391561 20502068 24676452 30753102 36783122 46129653 55174683 61506204 73566244 92259306 110349366 165524049 184518612 199292161 220698732 312656537 331048098 398584322 597876483 625313074 662096196 797168644 937969611 1195752966 1250626148 1793629449 1875939222 2391505932 2813908833 3387966737 3587258898 3751878444 5627817666 6775933474 7174517796 10163900211 11255635332 12156821821 13551866948 20327800422 24313643642 30491700633 36470465463 40655600844 48627287284 60983401266 72940930926 109411396389 121966802532 145881861852 206665970957 218822792778 413331941914 437645585556 619997912871 826663883828 1239995825742 1859993738613 2479991651484 3719987477226 7439974954452