Search a number
-
+
542335533245 = 51121018875469
BaseRepresentation
bin1111110010001011011…
…01111000000010111101
31220211212021222122001022
413321011231320002331
532341200344030440
61053051232353525
754116402654102
oct7710555700275
91824767878038
10542335533245
1119a0042a7200
12891370a58a5
133c1b0036b6c
141c36ba6caa9
15e1926a9cb5
hex7e45b780bd

542335533245 has 24 divisors (see below), whose sum is σ = 722427756120. Its totient is φ = 390520592000.

The previous prime is 542335533241. The next prime is 542335533269.

It is a happy number.

542335533245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 334485252409 + 207850280836 = 578347^2 + 455906^2 .

It is not a de Polignac number, because 542335533245 - 22 = 542335533241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542335533196 and 542335533205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542335533241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4376630 + ... + 4498839.

It is an arithmetic number, because the mean of its divisors is an integer number (30101156505).

Almost surely, 2542335533245 is an apocalyptic number.

542335533245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542335533245 is a deficient number, since it is larger than the sum of its proper divisors (180092222875).

542335533245 is a wasteful number, since it uses less digits than its factorization.

542335533245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8875597 (or 8875586 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 44.

The spelling of 542335533245 in words is "five hundred forty-two billion, three hundred thirty-five million, five hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 5 11 55 101 121 505 605 1111 5555 12221 61105 8875469 44377345 97630159 488150795 896422369 1073931749 4482111845 5369658745 9860646059 49303230295 108467106649 542335533245