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4035132066 = 237261713169
BaseRepresentation
bin1111000010000011…
…0011101010100010
3101102012210221120210
43300200303222202
531230443211231
61504222514550
7201665025300
oct36040635242
911365727523
104035132066
1117907aa499
12947435a56
134c3ca2614
142a3c9b270
151893b4a46
hexf0833aa2

4035132066 has 96 divisors (see below), whose sum is σ = 9679201920. Its totient is φ = 1117670400.

The previous prime is 4035132061. The next prime is 4035132077. The reversal of 4035132066 is 6602315304.

It is a super-2 number, since 2×40351320662 = 32564581580122856712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4035132061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271730 + ... + 1274898.

It is an arithmetic number, because the mean of its divisors is an integer number (100825020).

Almost surely, 24035132066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4035132066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839600960).

4035132066 is an abundant number, since it is smaller than the sum of its proper divisors (5644069854).

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

4035132066 is a wasteful number, since it uses less digits than its factorization.

4035132066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 4035132066 is about 63522.6893794650. The cubic root of 4035132066 is about 1592.0349018152.

The spelling of 4035132066 in words is "four billion, thirty-five million, one hundred thirty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 61 71 98 122 142 147 183 213 294 366 426 427 497 854 994 1281 1491 2562 2982 2989 3169 3479 4331 5978 6338 6958 8662 8967 9507 10437 12993 17934 19014 20874 22183 25986 30317 44366 60634 66549 90951 133098 155281 181902 193309 212219 224999 310562 386618 424438 449998 465843 579927 636657 674997 931686 1159854 1273314 1349994 1353163 1574993 2706326 3149986 4059489 4724979 8118978 9449958 9472141 11024951 13724939 18944282 22049902 27449878 28416423 33074853 41174817 56832846 66149706 82349634 96074573 192149146 288223719 576447438 672522011 1345044022 2017566033 4035132066