Search a number
-
+
66575255271424 = 211371077181569
BaseRepresentation
bin11110010001100110000100…
…11100001111100000000000
322201201112101000012200002221
433020303002130033200000
532211232110322141144
6353332130002220424
720010621613532044
oct1710630234174000
9281645330180087
1066575255271424
111a238452a95249
127572892354714
132b1c03419c153
14126238c2b2024
157a6b9630bd84
hex3c8cc270f800

66575255271424 has 96 divisors (see below), whose sum is σ = 136730156144400. Its totient is φ = 32384558039040.

The previous prime is 66575255271407. The next prime is 66575255271431. The reversal of 66575255271424 is 42417255257566.

It is a super-2 number, since 2×665752552714242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816142512 + ... + 816224080.

Almost surely, 266575255271424 is an apocalyptic number.

66575255271424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66575255271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68365078072200).

66575255271424 is an abundant number, since it is smaller than the sum of its proper divisors (70154900872976).

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

66575255271424 is a wasteful number, since it uses less digits than its factorization.

66575255271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92399 (or 92379 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 61.

The spelling of 66575255271424 in words is "sixty-six trillion, five hundred seventy-five billion, two hundred fifty-five million, two hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4736 9472 10771 18944 21542 37888 43084 75776 81569 86168 163138 172336 326276 344672 398527 652552 689344 797054 1305104 1378688 1594108 2610208 2757376 3018053 3188216 5220416 5514752 6036106 6376432 10440832 11029504 12072212 12752864 20881664 22059008 24144424 25505728 41763328 48288848 51011456 83526656 96577696 102022912 167053312 193155392 204045824 386310784 408091648 772621568 816183296 878579699 1545243136 1757159398 3090486272 3514318796 6180972544 7028637592 14057275184 28114550368 32507448863 56229100736 65014897726 112458201472 130029795452 224916402944 260059590904 449832805888 520119181808 899665611776 1040238363616 1799331223552 2080476727232 4160953454464 8321906908928 16643813817856 33287627635712 66575255271424