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471713800428 = 2232136746132633
BaseRepresentation
bin1101101110101000101…
…01010110000011101100
31200002120112201220002100
412313110111112003230
530212032213103203
61000411411455100
746036336101243
oct6672425260354
91602515656070
10471713800428
11172064163062
1277507bb7490
1335636b54890
1418b8c65395a
15c40c6d6ea3
hex6dd45560ec

471713800428 has 144 divisors (see below), whose sum is σ = 1306142693856. Its totient is φ = 142661882880.

The previous prime is 471713800409. The next prime is 471713800447. The reversal of 471713800428 is 824008317174.

471713800428 is a `hidden beast` number, since 471 + 7 + 138 + 0 + 0 + 42 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (471713800409) and next prime (471713800447).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14438800 + ... + 14471432.

It is an arithmetic number, because the mean of its divisors is an integer number (9070435374).

Almost surely, 2471713800428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471713800428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653071346928).

471713800428 is an abundant number, since it is smaller than the sum of its proper divisors (834428893428).

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

471713800428 is a wasteful number, since it uses less digits than its factorization.

471713800428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33184 (or 33179 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 471713800428 in words is "four hundred seventy-one billion, seven hundred thirteen million, eight hundred thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 461 468 603 804 871 922 1206 1383 1742 1844 2412 2613 2766 3484 4149 5226 5532 5993 7839 8298 10452 11986 15678 16596 17979 23972 30887 31356 32633 35958 53937 61774 65266 71916 92661 97899 107874 123548 130532 185322 195798 215748 277983 293697 370644 391596 401531 424229 555966 587394 803062 848458 1111932 1174788 1204593 1272687 1606124 1696916 2186411 2409186 2545374 3613779 3818061 4372822 4818372 5090748 6559233 7227558 7636122 8745644 13118466 14455116 15043813 15272244 19677699 26236932 28423343 30087626 39355398 45131439 56846686 60175252 78710796 85270029 90262878 113693372 135394317 170540058 180525756 195569569 255810087 270788634 341080116 391139138 511620174 541577268 586708707 782278276 1007935471 1023240348 1173417414 1760126121 2015870942 2346834828 3023806413 3520252242 4031741884 6047612826 7040504484 9071419239 12095225652 13103161123 18142838478 26206322246 36285676956 39309483369 52412644492 78618966738 117928450107 157237933476 235856900214 471713800428