Search a number
-
+
542645325610311 = 371167136725648429
BaseRepresentation
bin111101101100010000111010…
…1110111110011110101000111
32122011100101102202100010122010
41323120201311313303311013
51032111200111324012221
65202035453210305303
7222204555014636130
oct17330416567636507
92564311382303563
10542645325610311
111479a36546330a0
1250a40371728233
131a3a3308657b71
149800261256c87
1542b06b4770c76
hex1ed8875df3d47

542645325610311 has 64 divisors (see below), whose sum is σ = 916193108090880. Its totient is φ = 277483160972160.

The previous prime is 542645325610229. The next prime is 542645325610319. The reversal of 542645325610311 is 113016523546245.

It is a happy number.

It is not a de Polignac number, because 542645325610311 - 210 = 542645325609287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542645325610319) 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, 8332845 + ... + 33981273.

It is an arithmetic number, because the mean of its divisors is an integer number (14315517313920).

Almost surely, 2542645325610311 is an apocalyptic number.

542645325610311 is a deficient number, since it is larger than the sum of its proper divisors (373547782480569).

542645325610311 is a wasteful number, since it uses less digits than its factorization.

542645325610311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25649884.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 542645325610311 in words is "five hundred forty-two trillion, six hundred forty-five billion, three hundred twenty-five million, six hundred ten thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 67 77 201 231 469 737 1367 1407 2211 4101 5159 9569 15037 15477 28707 45111 91589 105259 274767 315777 641123 1007479 1923369 3022437 7052353 21157059 25648429 76945287 179539003 282132719 538617009 846398157 1718444743 1974929033 5155334229 5924787099 12029113201 18902892173 35061402443 36087339603 56708676519 105184207329 132320245211 245429817101 385675426873 396960735633 736289451303 1157026280619 2349113963681 2699727988111 7047341891043 8099183964333 16443797745767 25840253600491 49331393237301 77520760801473 180881775203437 542645325610311