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30404585574 = 23411193312713
BaseRepresentation
bin11100010100010000…
…010010100001100110
32220110221120222110000
4130110100102201212
5444232033214244
621545003442130
72124311466426
oct342420224146
986427528400
1030404585574
1111992661180
125a86526346
132b3715094c
141686084486
15bce3e6169
hex714412866

30404585574 has 160 divisors (see below), whose sum is σ = 78499301760. Its totient is φ = 8699011200.

The previous prime is 30404585567. The next prime is 30404585579. The reversal of 30404585574 is 47558540403.

30404585574 is a `hidden beast` number, since 3 + 0 + 40 + 4 + 58 + 557 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30404585579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11205642 + ... + 11208354.

It is an arithmetic number, because the mean of its divisors is an integer number (490620636).

Almost surely, 230404585574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30404585574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39249650880).

30404585574 is an abundant number, since it is smaller than the sum of its proper divisors (48094716186).

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

30404585574 is a wasteful number, since it uses less digits than its factorization.

30404585574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 30404585574 in words is "thirty billion, four hundred four million, five hundred eighty-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 331 342 418 513 594 627 662 891 993 1026 1254 1539 1782 1881 1986 2713 2979 3078 3641 3762 5426 5643 5958 6289 7282 8139 8937 10923 11286 12578 16278 16929 17874 18867 21846 24417 26811 29843 32769 33858 37734 48834 51547 53622 56601 59686 65538 69179 73251 89529 98307 103094 113202 138358 146502 154641 169803 179058 196614 207537 219753 268587 294921 309282 339606 415074 439506 463923 509409 537174 567017 589842 622611 805761 898003 927846 1018818 1134034 1245222 1391769 1611522 1701051 1796006 1867833 2417283 2694009 2783538 3402102 3735666 4175307 4834566 5103153 5388018 5603499 8082027 8350614 9878033 10206306 11206998 15309459 16164054 17062057 19756066 24246081 29634099 30618918 34124114 45928377 48492162 51186171 59268198 72738243 88902297 91856754 102372342 145476486 153558513 177804594 187682627 266706891 307117026 375365254 460675539 533413782 563047881 800120673 921351078 1126095762 1382026617 1600241346 1689143643 2764053234 3378287286 5067430929 10134861858 15202292787 30404585574