Search a number
-
+
2106715062216 = 2334718113197823
BaseRepresentation
bin11110101010000010000…
…000001011111111001000
321110101210121001200211210
4132222002000023333020
5234004023023442331
64251451143053120
7305130235365312
oct36520200137710
97411717050753
102106715062216
117424a8804586
122a03667411a0
1312387c3239bb
1473d736987b2
1539c019ea446
hex1ea8200bfc8

2106715062216 has 128 divisors (see below), whose sum is σ = 5413356748800. Its totient is φ = 682894391040.

The previous prime is 2106715062181. The next prime is 2106715062233. The reversal of 2106715062216 is 6122605176012.

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, 269293681 + ... + 269301503.

It is an arithmetic number, because the mean of its divisors is an integer number (42291849600).

Almost surely, 22106715062216 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 2106715062216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706678374400).

2106715062216 is an abundant number, since it is smaller than the sum of its proper divisors (3306641686584).

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

2106715062216 is a wasteful number, since it uses less digits than its factorization.

2106715062216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 2106715062216 in words is "two trillion, one hundred six billion, seven hundred fifteen million, sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 181 188 282 362 376 543 564 724 1086 1128 1319 1448 2172 2638 3957 4344 5276 7823 7914 8507 10552 15646 15828 17014 23469 25521 31292 31656 34028 46938 51042 61993 62584 68056 93876 102084 123986 185979 187752 204168 238739 247972 367681 371958 477478 495944 716217 735362 743916 954956 1103043 1415963 1432434 1470724 1487832 1909912 2206086 2831926 2864868 2941448 4247889 4412172 5663852 5729736 8495778 8824344 10318537 11220733 11327704 16991556 20637074 22441466 30955611 33662199 33983112 41274148 44882932 61911222 66550261 67324398 82548296 89765864 123822444 133100522 134648796 199650783 247644888 266201044 269297592 399301566 484971239 532402088 798603132 969942478 1454913717 1597206264 1867655197 1939884956 2909827434 3735310394 3879769912 5602965591 5819654868 7470620788 11205931182 11639309736 14941241576 22411862364 44823724728 87779794259 175559588518 263339382777 351119177036 526678765554 702238354072 1053357531108 2106715062216