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472426205404164 = 2231167106015038931
BaseRepresentation
bin110101101101010110100110…
…0001001111101110000000100
32021221201111121112101120100220
41223122231030021331300010
5443410212332040413124
64352433334100304340
7201336444530152614
oct15332551411756004
92257644545346326
10472426205404164
11127590912908a10
1244b9b4443a20b0
131737b7a52c785b
14849379c204a44
153993d52e24879
hex1adab4c27dc04

472426205404164 has 96 divisors (see below), whose sum is σ = 1220603153398272. Its totient is φ = 141009417120000.

The previous prime is 472426205404159. The next prime is 472426205404183. The reversal of 472426205404164 is 461404502624274.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91235779 + ... + 96274709.

It is an arithmetic number, because the mean of its divisors is an integer number (12714616181232).

Almost surely, 2472426205404164 is an apocalyptic number.

472426205404164 is a gapful number since it is divisible by the number (44) 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 472426205404164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610301576699136).

472426205404164 is an abundant number, since it is smaller than the sum of its proper divisors (748176947994108).

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

472426205404164 is a wasteful number, since it uses less digits than its factorization.

472426205404164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049617 (or 5049615 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 51.

The spelling of 472426205404164 in words is "four hundred seventy-two trillion, four hundred twenty-six billion, two hundred five million, four hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 10601 21202 31803 42404 63606 116611 127212 233222 349833 466444 699666 710267 1399332 1420534 2130801 2841068 4261602 5038931 7812937 8523204 10077862 15116793 15625874 20155724 23438811 30233586 31251748 46877622 55428241 60467172 93755244 110856482 166284723 221712964 332569446 337608377 665138892 675216754 1012825131 1350433508 2025650262 3713692147 4051300524 7427384294 11141076441 14854768588 22282152882 44564305764 53417707531 106835415062 160253122593 213670830124 320506245186 587594782841 641012490372 1175189565682 1762784348523 2350379131364 3525568697046 3578986404577 7051137394092 7157972809154 10736959213731 14315945618308 21473918427462 39368850450347 42947836854924 78737700900694 118106551351041 157475401801388 236213102702082 472426205404164