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217116423414 = 2321131113313031
BaseRepresentation
bin1100101000110100100…
…1011011010011110110
3202202102012212002022100
43022031021123103312
512024123301022124
6243424130242530
721454230102042
oct3121511332366
9682365762270
10217116423414
1184095619480
12360b3a26446
1317621486577
14a719429022
1559aae971c9
hex328d25b4f6

217116423414 has 96 divisors (see below), whose sum is σ = 534428264448. Its totient is φ = 63106848000.

The previous prime is 217116423373. The next prime is 217116423449. The reversal of 217116423414 is 414324611712.

217116423414 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 1 + 642 + 3 + 4 + 1 + 4 = 666.

It is a congruent number.

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, 537079 + ... + 850109.

It is an arithmetic number, because the mean of its divisors is an integer number (5566961088).

Almost surely, 2217116423414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217116423414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267214132224).

217116423414 is an abundant number, since it is smaller than the sum of its proper divisors (317311841034).

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

217116423414 is a wasteful number, since it uses less digits than its factorization.

217116423414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313194 (or 313191 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 217116423414 in words is "two hundred seventeen billion, one hundred sixteen million, four hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 113 186 198 226 279 339 341 558 678 682 1017 1023 1243 2034 2046 2486 3069 3503 3729 6138 7006 7458 10509 11187 21018 22374 31527 38533 63054 77066 115599 231198 313031 346797 626062 693594 939093 1878186 2817279 3443341 5634558 6886682 9703961 10330023 19407922 20660046 29111883 30990069 35372503 58223766 61980138 70745006 87335649 106117509 106743571 174671298 212235018 213487142 318352527 320230713 389097533 636705054 640461426 778195066 960692139 1096547593 1167292599 1921384278 2193095186 2334585198 3289642779 3501877797 6579285558 7003755594 9868928337 12062023523 19737856674 24124047046 36186070569 72372141138 108558211707 217116423414