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12217138672 = 2417414373349
BaseRepresentation
bin10110110000011001…
…01011110111110000
31011112102200221121111
423120030223313300
5200010041414142
65340143403104
7611515652044
oct133014536760
934472627544
1012217138672
1151aa290122
12244b5b3494
1311c913ca4b
1483c7c2024
154b7862e17
hex2d832bdf0

12217138672 has 160 divisors (see below), whose sum is σ = 26707665600. Its totient is φ = 5388042240.

The previous prime is 12217138627. The next prime is 12217138697. The reversal of 12217138672 is 27683171221.

It is a congruent 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, 35005954 + ... + 35006302.

It is an arithmetic number, because the mean of its divisors is an integer number (166922910).

Almost surely, 212217138672 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 12217138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353832800).

12217138672 is an abundant number, since it is smaller than the sum of its proper divisors (14490526928).

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

12217138672 is a wasteful number, since it uses less digits than its factorization.

12217138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 12217138672 in words is "twelve billion, two hundred seventeen million, one hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 41 43 68 73 82 86 136 146 164 172 272 292 328 344 349 584 656 688 697 698 731 1168 1241 1394 1396 1462 1763 2482 2788 2792 2924 2993 3139 3526 4964 5576 5584 5848 5933 5986 6278 7052 9928 11152 11696 11866 11972 12556 14104 14309 15007 19856 23732 23944 25112 25477 28208 28618 29971 30014 47464 47888 50224 50881 50954 53363 57236 59942 60028 94928 101762 101908 106726 114472 119884 120056 128699 203524 203816 213452 228944 239768 240112 243253 255119 257398 407048 407632 426904 433109 479536 486506 510238 514796 615287 814096 853808 866218 973012 1020476 1029592 1044557 1095511 1230574 1732436 1946024 2040952 2059184 2089114 2187883 2191022 2461148 3464872 3892048 4081904 4178228 4375766 4382044 4922296 6929744 8356456 8751532 8764088 9844592 10459879 16712912 17503064 17528176 17757469 18623687 20919758 35006128 35514938 37247374 41839516 44915951 71029876 74494748 83679032 89831902 142059752 148989496 167358064 179663804 284119504 297978992 359327608 718655216 763571167 1527142334 3054284668 6108569336 12217138672