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216660514304 = 2913139234181
BaseRepresentation
bin1100100111000111111…
…0010001011000000000
3202201020102222111120202
43021301332101120000
512022210042424204
6243311002424332
721440022662003
oct3116176213000
9681212874522
10216660514304
1183981237193
1235ba72020a8
131757ab9b070
14a6b4a6d53a
155980e3ce1e
hex3271f91600

216660514304 has 80 divisors (see below), whose sum is σ = 469553644560. Its totient is φ = 99277332480.

The previous prime is 216660514271. The next prime is 216660514309. The reversal of 216660514304 is 403415066612.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216660514309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808094 + ... + 1042274.

It is an arithmetic number, because the mean of its divisors is an integer number (5869420557).

Almost surely, 2216660514304 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 216660514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234776822280).

216660514304 is an abundant number, since it is smaller than the sum of its proper divisors (252893130256).

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

216660514304 is a wasteful number, since it uses less digits than its factorization.

216660514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234351 (or 234335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 216660514304 in words is "two hundred sixteen billion, six hundred sixty million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 512 556 832 1112 1664 1807 2224 3328 3614 4448 6656 7228 8896 14456 17792 28912 35584 57824 71168 115648 231296 234181 462592 468362 925184 936724 1873448 3044353 3746896 6088706 7493792 12177412 14987584 24354824 29975168 32551159 48709648 59950336 65102318 97419296 119900672 130204636 194838592 260409272 389677184 423165067 520818544 779354368 846330134 1041637088 1558708736 1692660268 2083274176 3385320536 4166548352 6770641072 8333096704 13541282144 16666193408 27082564288 54165128576 108330257152 216660514304