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74574573920 = 2557211864733
BaseRepresentation
bin100010101110011111…
…1011011000101100000
321010111020012212120022
41011130333123011200
52210212042331140
654131543533012
75250012263600
oct1053477330540
9233436185508
1074574573920
1129699448180
1212552a5a168
137056101822
1438763b4c00
151e170300b5
hex115cfdb160

74574573920 has 144 divisors (see below), whose sum is σ = 223578705168. Its totient is φ = 23243996160.

The previous prime is 74574573907. The next prime is 74574573923. The reversal of 74574573920 is 2937547547.

It is a super-2 number, since 2×745745739202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74574573923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346127 + ... + 518606.

It is an arithmetic number, because the mean of its divisors is an integer number (1552629897).

Almost surely, 274574573920 is an apocalyptic number.

74574573920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74574573920 is an abundant number, since it is smaller than the sum of its proper divisors (149004131248).

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

74574573920 is a wasteful number, since it uses less digits than its factorization.

74574573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864773 (or 864758 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 53.

The spelling of 74574573920 in words is "seventy-four billion, five hundred seventy-four million, five hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 43120 86240 864733 1729466 3458932 4323665 6053131 6917864 8647330 9512063 12106262 13835728 17294660 19024126 24212524 27671456 30265655 34589320 38048252 42371917 47560315 48425048 60531310 66584441 69178640 76096504 84743834 95120630 96850096 121062620 133168882 138357280 152193008 169487668 190241260 193700192 211859585 242125240 266337764 304386016 332922205 338975336 380482520 423719170 466091087 484250480 532675528 665844410 677950672 760965040 847438340 932182174 968500960 1065351056 1331688820 1355901344 1521930080 1694876680 1864364348 2130702112 2330455435 2663377640 3389753360 3728728696 4660910870 5326755280 6779506720 7457457392 9321821740 10653510560 14914914784 18643643480 37287286960 74574573920