Search a number
-
+
6142506446601 = 3771921117631
BaseRepresentation
bin101100101100010100111…
…1010100010111100001001
3210202012212211120010000000
41121120221322202330021
51301114323122242401
621021454542433213
71202532015216030
oct131305172427411
923665784503000
106142506446601
111a59027832a68
12832560b92809
1335730b29a595
14173428269717
15a9ba9c5a186
hex59629ea2f09

6142506446601 has 64 divisors (see below), whose sum is σ = 11082533273600. Its totient is φ = 3325266490320.

The previous prime is 6142506446569. The next prime is 6142506446621. The reversal of 6142506446601 is 1066446052416.

6142506446601 is a `hidden beast` number, since 6 + 1 + 42 + 506 + 4 + 46 + 60 + 1 = 666.

It is not a de Polignac number, because 6142506446601 - 25 = 6142506446569 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6142506446621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10267945 + ... + 10849686.

It is an arithmetic number, because the mean of its divisors is an integer number (173164582400).

Almost surely, 26142506446601 is an apocalyptic number.

It is an amenable number.

6142506446601 is a deficient number, since it is larger than the sum of its proper divisors (4940026826999).

6142506446601 is an equidigital number, since it uses as much as digits as its factorization.

6142506446601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21117678 (or 21117660 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6142506446601 in words is "six trillion, one hundred forty-two billion, five hundred six million, four hundred forty-six thousand, six hundred one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 729 1197 1539 1701 2187 3591 4617 5103 10773 13851 15309 32319 41553 96957 290871 21117631 63352893 147823417 190058679 401234989 443470251 570176037 1203704967 1330410753 1710528111 2808644923 3611114901 3991232259 5131584333 8425934769 10833344703 11973696777 15394752999 25277804307 32500034109 35921090331 46184258997 75833412921 97500102327 107763270993 227500238763 292500306981 323289812979 682500716289 877500920943 2047502148867 6142506446601