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9066508810216 = 231113313266029
BaseRepresentation
bin1000001111101111011000…
…0010010111011111101000
31012002202020120212110011121
42003323312002113133220
52142021202223411331
631141032513105024
71624014353221114
oct203736602273750
935082216773147
109066508810216
1129860a2950690
121025197558174
13509c77c33b70
14234b6db94744
1510ac92570c11
hex83ef60977e8

9066508810216 has 128 divisors (see below), whose sum is σ = 20637458150400. Its totient is φ = 3681401875200.

The previous prime is 9066508810213. The next prime is 9066508810217. The reversal of 9066508810216 is 6120188056609.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (9066508810213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33947890 + ... + 34213918.

It is an arithmetic number, because the mean of its divisors is an integer number (161230141800).

Almost surely, 29066508810216 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 9066508810216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318729075200).

9066508810216 is an abundant number, since it is smaller than the sum of its proper divisors (11570949340184).

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

9066508810216 is a wasteful number, since it uses less digits than its factorization.

9066508810216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266152 (or 266086 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 9066508810216 in words is "nine trillion, sixty-six billion, five hundred eight million, eight hundred ten thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 961 1144 1364 1612 1922 2728 3224 3844 4433 7688 8866 10571 12493 17732 21142 24986 29791 35464 42284 49972 59582 84568 99944 119164 137423 238328 266029 274846 327701 387283 532058 549692 655402 774566 1064116 1099384 1310804 1549132 2128232 2621608 2926319 3098264 3458377 4260113 5852638 6916754 8246899 8520226 11705276 13833508 16493798 17040452 23410552 27667016 32987596 34080904 38042147 65975192 76084294 90715889 107209687 152168588 181431778 214419374 255653869 304337176 362863556 428838748 511307738 725727112 857677496 1022615476 1179306557 2045230952 2358613114 2812192559 3323500297 4717226228 5624385118 6647000594 7925269939 9434452456 11248770236 13294001188 15850539878 22497540472 26588002376 31701079756 36558503267 63402159512 73117006534 87177969329 103028509207 146234013068 174355938658 206057018414 292468026136 348711877316 412114036828 697423754632 824228073656 1133313601277 2266627202554 4533254405108 9066508810216