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216912338082 = 2321112725134367
BaseRepresentation
bin1100101000000011111…
…0111001110010100010
3202201212222211110212100
43022000332321302202
512023214024304312
6243352000111230
721446201311056
oct3120076716242
9681788743770
10216912338082
1183aa03a6110
1236057605516
13175bb0cb90b
14a6da2a1c66
1559980d25dc
hex3280fb9ca2

216912338082 has 96 divisors (see below), whose sum is σ = 518812729344. Its totient is φ = 64951740000.

The previous prime is 216912338077. The next prime is 216912338101. The reversal of 216912338082 is 280833219612.

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, 6294463 + ... + 6328829.

It is an arithmetic number, because the mean of its divisors is an integer number (5404299264).

Almost surely, 2216912338082 is an apocalyptic number.

216912338082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216912338082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259406364672).

216912338082 is an abundant number, since it is smaller than the sum of its proper divisors (301900391262).

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

216912338082 is a wasteful number, since it uses less digits than its factorization.

216912338082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34761 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 216912338082 in words is "two hundred sixteen billion, nine hundred twelve million, three hundred thirty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 251 254 381 502 753 762 1143 1397 1506 2259 2286 2761 2794 4191 4518 5522 8283 8382 12573 16566 24849 25146 31877 34367 49698 63754 68734 95631 103101 191262 206202 286893 309303 350647 378037 573786 618606 701294 756074 1051941 1134111 2103882 2268222 3155823 3402333 4364609 6311646 6804666 8626117 8729218 13093827 17252234 25878351 26187654 39281481 48010699 51756702 77635053 78562962 94887287 96021398 144032097 155270106 189774574 284661861 288064194 432096291 569323722 853985583 864192582 1095516859 1707971166 2191033718 3286550577 6573101154 9859651731 12050685449 19719303462 24101370898 36152056347 72304112694 108456169041 216912338082