Search a number
-
+
470206207254 = 23741716311779
BaseRepresentation
bin1101101011110100111…
…10010101010100010110
31122221200110221020001010
412311322132111110112
530200440242113004
61000002034513050
745654101550000
oct6657236252426
91587613836033
10470206207254
11171460166a93
1277167135786
1335456704404
1418a88335370
15c37018ca89
hex6d7a795516

470206207254 has 160 divisors (see below), whose sum is σ = 1168842510720. Its totient is φ = 125655618816.

The previous prime is 470206207217. The next prime is 470206207307. The reversal of 470206207254 is 452702602074.

It is a happy number.

It is a super-3 number, since 3×4702062072543 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39913137 + ... + 39924915.

It is an arithmetic number, because the mean of its divisors is an integer number (7305265692).

Almost surely, 2470206207254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470206207254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584421255360).

470206207254 is an abundant number, since it is smaller than the sum of its proper divisors (698636303466).

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

470206207254 is a wasteful number, since it uses less digits than its factorization.

470206207254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 470206207254 in words is "four hundred seventy billion, two hundred six million, two hundred seven thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 163 238 294 326 343 357 489 686 714 833 978 1029 1141 1666 2058 2282 2401 2499 2771 3423 4802 4998 5542 5831 6846 7203 7987 8313 11662 11779 14406 15974 16626 17493 19397 23558 23961 34986 35337 38794 40817 47922 55909 58191 70674 81634 82453 111818 116382 122451 135779 164906 167727 200243 244902 247359 271558 335454 391363 400486 407337 494718 577171 600729 782726 814674 950453 1154342 1174089 1201458 1401701 1731513 1900906 1919977 2348178 2803402 2851359 3463026 3839954 4040197 4205103 5702718 5759931 6653171 8080394 8410206 9811907 11519862 12120591 13306342 13439839 19623814 19959513 24241182 26879678 28281379 29435721 32639609 39919026 40319517 56562758 58871442 65279218 68683349 80639034 84844137 94078873 97918827 137366698 169688274 188157746 195837654 206050047 228477263 282236619 412100094 456954526 480783443 564473238 658552111 685431789 961566886 1317104222 1370863578 1442350329 1599340841 1975656333 2884700658 3198681682 3951312666 4609864777 4798022523 9219729554 9596045046 11195385887 13829594331 22390771774 27659188662 33586157661 67172315322 78367701209 156735402418 235103103627 470206207254