Search a number
-
+
466893467166 = 237173129371993
BaseRepresentation
bin1101100101101010000…
…01001110111000011110
31122122010121102120221210
412302311001032320132
530122144211422131
6554253215205250
745506024663430
oct6626501167036
91578117376853
10466893467166
11170010210365
12765a1816826
13350492b1289
14188523a0650
15c229420146
hex6cb504ee1e

466893467166 has 128 divisors (see below), whose sum is σ = 1170408185856. Its totient is φ = 121084784640.

The previous prime is 466893467143. The next prime is 466893467189. The reversal of 466893467166 is 661764398664.

466893467166 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (466893467143) and next prime (466893467189).

It is a super-3 number, since 3×4668934671663 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466893467097 and 466893467106.

It is a congruent number.

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, 6449266 + ... + 6521258.

It is an arithmetic number, because the mean of its divisors is an integer number (9143813952).

Almost surely, 2466893467166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466893467166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585204092928).

466893467166 is an abundant number, since it is smaller than the sum of its proper divisors (703514718690).

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

466893467166 is a wasteful number, since it uses less digits than its factorization.

466893467166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72346.

The product of its digits is 188116992, while the sum is 66.

The spelling of 466893467166 in words is "four hundred sixty-six billion, eight hundred ninety-three million, four hundred sixty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 293 357 434 527 586 651 714 879 1054 1302 1581 1758 2051 3162 3689 4102 4981 6153 7378 9083 9962 11067 12306 14943 18166 22134 27249 29886 34867 54498 63581 69734 71993 104601 127162 143986 154411 190743 209202 215979 308822 381486 431958 463233 503951 926466 1007902 1080877 1223881 1511853 2161754 2231783 2447762 3023706 3242631 3671643 4463566 6485262 6695349 7343286 8567167 13390698 15622481 17134334 21093949 25701501 31244962 37940311 42187898 46867443 51403002 63281847 75880622 93734886 113820933 126563694 147657643 227641866 265582177 295315286 358597133 442972929 531164354 653912419 717194266 796746531 885945858 1075791399 1307824838 1593493062 1961737257 2151582798 2510179931 3923474514 4577386933 5020359862 7530539793 9154773866 11116511123 13732160799 15061079586 22233022246 27464321598 33349533369 66699066738 77815577861 155631155722 233446733583 466893467166