Search a number
-
+
1652489682064 = 241325924192
BaseRepresentation
bin11000000011000000000…
…011110111110010010000
312211222100211212121022221
4120003000003313302100
5204033244324311224
63303050540510424
7230250143353054
oct30030003676220
95758324777287
101652489682064
115878a9388521
1222831b54b414
13bcaa1721a00
1459da3943c64
152ceb98176e4
hex180c00f7c90

1652489682064 has 135 divisors (see below), whose sum is σ = 3535122694233. Its totient is φ = 747971233152.

The previous prime is 1652489682061. The next prime is 1652489682073. The reversal of 1652489682064 is 4602869842561.

It is a happy number.

The square root of 1652489682064 is 1285492.

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

It can be written as a sum of positive squares in only one way, i.e., 244451136400 + 1408038545664 = 494420^2 + 1186608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1652489681993 and 1652489682011.

It is not an unprimeable number, because it can be changed into a prime (1652489682061) 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, 3943889247 + ... + 3943889665.

Almost surely, 21652489682064 is an apocalyptic number.

1652489682064 is the 1285492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1652489682064

1652489682064 is an abundant number, since it is smaller than the sum of its proper divisors (1882633012169).

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

1652489682064 is an frugal number, since it uses more digits than its factorization.

1652489682064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 1652489682064 in words is "one trillion, six hundred fifty-two billion, four hundred eighty-nine million, six hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 169 208 236 338 419 472 676 767 838 944 1352 1534 1676 2704 3068 3352 3481 5447 6136 6704 6962 9971 10894 12272 13924 19942 21788 24721 27848 39884 43576 45253 49442 55696 70811 79768 87152 90506 98884 141622 159536 175561 181012 197768 283244 321373 351122 362024 395536 566488 588289 642746 702244 724048 1132976 1176578 1285492 1404488 1458539 2282293 2353156 2570984 2808976 2917078 4177849 4564586 4706312 5141968 5834156 8355698 9129172 9412624 10358099 11668312 16711396 18258344 18961007 20716198 23336624 29669809 33422792 36516688 37922014 41432396 59339618 66845584 75844028 82864792 118679236 134655287 151688056 165729584 237358472 246493091 269310574 303376112 474716944 492986182 538621148 611127841 985972364 1077242296 1222255682 1750518731 1971944728 2154484592 2444511364 3501037462 3943889456 4889022728 7002074924 7944661933 9778045456 14004149848 15889323866 28008299696 31778647732 63557295464 103280605129 127114590928 206561210258 413122420516 826244841032 1652489682064