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66441903048 = 2334438328729
BaseRepresentation
bin111101111000001111…
…101111101111001000
320100111110011101110000
4331320033233233020
52042033111344143
650304544323000
74541330600103
oct757017575710
9210443141400
1066441903048
11261a57a4184
1210a63313460
13635b249341
14330425373a
151add079bd3
hexf783efbc8

66441903048 has 160 divisors (see below), whose sum is σ = 192727735200. Its totient is φ = 21370874112.

The previous prime is 66441903023. The next prime is 66441903049. The reversal of 66441903048 is 84030914466.

It is a junction number, because it is equal to n+sod(n) for n = 66441902994 and 66441903012.

It is not an unprimeable number, because it can be changed into a prime (66441903049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2298348 + ... + 2327076.

It is an arithmetic number, because the mean of its divisors is an integer number (1204548345).

Almost surely, 266441903048 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 66441903048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96363867600).

66441903048 is an abundant number, since it is smaller than the sum of its proper divisors (126285832152).

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

66441903048 is a wasteful number, since it uses less digits than its factorization.

66441903048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28873 (or 28860 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 66441903048 in words is "sixty-six billion, four hundred forty-one million, nine hundred three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 83 86 108 129 162 166 172 216 249 258 324 332 344 387 498 516 648 664 747 774 996 1032 1161 1494 1548 1992 2241 2322 2988 3096 3483 3569 4482 4644 5976 6723 6966 7138 8964 9288 10707 13446 13932 14276 17928 21414 26892 27864 28552 28729 32121 42828 53784 57458 64242 85656 86187 96363 114916 128484 172374 192726 229832 256968 258561 289089 344748 385452 517122 578178 689496 770904 775683 1034244 1156356 1235347 1551366 2068488 2312712 2327049 2384507 2470694 3102732 3706041 4654098 4769014 4941388 6205464 7153521 7412082 9308196 9538028 9882776 11118123 14307042 14824164 18616392 19076056 21460563 22236246 28614084 29648328 33354369 42921126 44472492 57228168 64381689 66708738 85842252 88944984 100063107 102533801 128763378 133417476 171684504 193145067 200126214 205067602 257526756 266834952 307601403 386290134 400252428 410135204 515053512 615202806 772580268 800504856 820270408 922804209 1230405612 1545160536 1845608418 2460811224 2768412627 3691216836 5536825254 7382433672 8305237881 11073650508 16610475762 22147301016 33220951524 66441903048