Search a number
-
+
66416251661466 = 23747711134193633
BaseRepresentation
bin11110001100111101111010…
…00101100110110010011010
322201011022221202212101021220
433012132331011212302122
532201130440411131331
6353131112123112510
716663262426253060
oct1706367505466232
9281138852771256
1066416251661466
111a186a7965a733
127547ab8372736
132b0a0444a7545
1412587c6c4a030
157a298c08b296
hex3c67bd166c9a

66416251661466 has 128 divisors (see below), whose sum is σ = 158613570994176. Its totient is φ = 18148697333760.

The previous prime is 66416251661429. The next prime is 66416251661587. The reversal of 66416251661466 is 66416615261466.

It is a super-2 number, since 2×664162516614662 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13740586 + ... + 17934218.

It is an arithmetic number, because the mean of its divisors is an integer number (1239168523392).

Almost surely, 266416251661466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66416251661466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79306785497088).

66416251661466 is an abundant number, since it is smaller than the sum of its proper divisors (92197319332710).

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

66416251661466 is a wasteful number, since it uses less digits than its factorization.

66416251661466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193876.

The product of its digits is 44789760, while the sum is 60.

The spelling of 66416251661466 in words is "sixty-six trillion, four hundred sixteen billion, two hundred fifty-one million, six hundred sixty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 47 71 94 113 141 142 213 226 282 329 339 426 497 658 678 791 987 994 1491 1582 1974 2373 2982 3337 4746 5311 6674 8023 10011 10622 15933 16046 20022 23359 24069 31866 37177 46718 48138 56161 70077 74354 111531 112322 140154 168483 223062 336966 377081 754162 1131243 2262486 2639567 4193633 5279134 7918701 8387266 12580899 15837402 25161798 29355431 58710862 88066293 176132586 197100751 297747943 394201502 473880529 591302253 595495886 893243829 947761058 1182604506 1379705257 1421641587 1786487658 2084235601 2759410514 2843283174 3317163703 4139115771 4168471202 6252706803 6634327406 8278231542 9951491109 12505413606 13994153321 19902982218 22272384863 27988306642 33645517559 41982459963 44544769726 66817154589 67291035118 83964919926 97959073247 100936552677 133634309178 155906694041 195918146494 201873105354 235518622913 293877219741 311813388082 467720082123 471037245826 587754439482 706555868739 935440164246 1413111737478 1581339325273 3162678650546 4744017975819 9488035951638 11069375276911 22138750553822 33208125830733 66416251661466