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45553142320 = 2457831277717
BaseRepresentation
bin101010011011001011…
…011100101000110000
311100120200021101200021
4222123023130220300
51221243101023240
632532105533224
73201564215050
oct523313345060
9140520241607
1045553142320
111835661a064
1289b37a4214
1343ac6b19aa
1422c1cd9560
1512b92a254a
hexa9b2dca30

45553142320 has 160 divisors (see below), whose sum is σ = 123480096768. Its totient is φ = 15306568704.

The previous prime is 45553142281. The next prime is 45553142413. The reversal of 45553142320 is 2324135554.

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 31 ways as a sum of consecutive naturals, for example, 5899102 + ... + 5906818.

Almost surely, 245553142320 is an apocalyptic number.

45553142320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45553142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740048384).

45553142320 is an abundant number, since it is smaller than the sum of its proper divisors (77926954448).

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

45553142320 is a wasteful number, since it uses less digits than its factorization.

45553142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 45553142320 its reverse (2324135554), we get a palindrome (47877277874).

The spelling of 45553142320 in words is "forty-five billion, five hundred fifty-three million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 127 140 166 254 280 332 415 508 560 581 635 664 830 889 1016 1162 1270 1328 1660 1778 2032 2324 2540 2905 3320 3556 4445 4648 5080 5810 6640 7112 7717 8890 9296 10160 10541 11620 14224 15434 17780 21082 23240 30868 35560 38585 42164 46480 52705 54019 61736 71120 73787 77170 84328 105410 108038 123472 147574 154340 168656 210820 216076 270095 295148 308680 368935 421640 432152 540190 590296 617360 640511 737870 843280 864304 980059 1080380 1180592 1281022 1475740 1960118 2160760 2562044 2951480 3202555 3920236 4321520 4483577 4900295 5124088 5902960 6405110 6860413 7840472 8967154 9800590 10248176 12810220 13720826 15680944 17934308 19601180 22417885 25620440 27441652 34302065 35868616 39202360 44835770 51240880 54883304 68604130 71737232 78404720 81344897 89671540 109766608 137208260 162689794 179343080 274416520 325379588 358686160 406724485 548833040 569414279 650759176 813448970 1138828558 1301518352 1626897940 2277657116 2847071395 3253795880 4555314232 5694142790 6507591760 9110628464 11388285580 22776571160 45553142320