Search a number
-
+
73952451364 = 221124722632
BaseRepresentation
bin100010011011111101…
…0001101101100100100
321001212212120202212011
41010313322031230210
52202423311420424
653550121404004
75225416315321
oct1046772155444
9231785522764
1073952451364
11293aa25a300
12123ba639604
136c8725b67c
14381790db48
151dcc5e2694
hex1137e8db24

73952451364 has 81 divisors (see below), whose sum is σ = 145897271611. Its totient is φ = 32774449840.

The previous prime is 73952451347. The next prime is 73952451427. The reversal of 73952451364 is 46315425937.

The square root of 73952451364 is 271942.

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

It is a super-3 number, since 3×739524513643 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

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, 281187897 + ... + 281188159.

Almost surely, 273952451364 is an apocalyptic number.

73952451364 is the 271942-nd square number.

It is an amenable number.

73952451364 is a deficient number, since it is larger than the sum of its proper divisors (71944820247).

73952451364 is a wasteful number, since it uses less digits than its factorization.

73952451364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 323 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

Multiplying 73952451364 by its sum of digits (49), we get a square (3623670116836 = 19035942).

The spelling of 73952451364 in words is "seventy-three billion, nine hundred fifty-two million, four hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 47 94 121 188 242 263 484 517 526 1034 1052 2068 2209 2893 4418 5687 5786 8836 11374 11572 12361 22748 24299 24722 31823 48598 49444 63646 69169 97196 127292 135971 138338 267289 271942 276676 534578 543884 580967 760859 1069156 1161934 1495681 1521718 2323868 2991362 3043436 3250943 5982724 6390637 6501886 8369449 12781274 13003772 16738898 25562548 33477796 35760373 70297007 71520746 140594014 143041492 152794321 281188028 305588642 393364103 611177284 786728206 1573456412 1680737531 3361475062 6722950124 18488112841 36976225682 73952451364