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550553132142 = 233139744318251
BaseRepresentation
bin10000000001011111000…
…01100001110001101110
31221122001222211220112000
420000233201201301232
533010013100212032
61100530504153130
754530135260266
oct10005741416156
91848058756460
10550553132142
111a2540987952
128a84b1687a6
133cbbc686810
141c90b1ba7a6
15e4c3d38e7c
hex802f861c6e

550553132142 has 128 divisors (see below), whose sum is σ = 1334224120320. Its totient is φ = 167266944000.

The previous prime is 550553132113. The next prime is 550553132147. The reversal of 550553132142 is 241231355055.

550553132142 is a `hidden beast` number, since 5 + 50 + 5 + 531 + 32 + 1 + 42 = 666.

It is a super-2 number, since 2×5505531321422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 550553132097 and 550553132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550553132147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30156517 + ... + 30174767.

It is an arithmetic number, because the mean of its divisors is an integer number (10423625940).

Almost surely, 2550553132142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550553132142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667112060160).

550553132142 is an abundant number, since it is smaller than the sum of its proper divisors (783670988178).

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

550553132142 is a wasteful number, since it uses less digits than its factorization.

550553132142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18815 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 550553132142 its reverse (241231355055), we get a palindrome (791784487197).

The spelling of 550553132142 in words is "five hundred fifty billion, five hundred fifty-three million, one hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 443 582 702 873 886 1261 1329 1746 2522 2619 2658 3783 3987 5238 5759 7566 7974 11349 11518 11961 17277 18251 22698 23922 34047 34554 36502 42971 51831 54753 68094 85942 103662 109506 128913 155493 164259 237263 257826 310986 328518 386739 474526 492777 558623 711789 773478 985554 1117246 1160217 1423578 1675869 1770347 2135367 2320434 3351738 3540694 4270734 5027607 5311041 6406101 8085193 10055214 10622082 12812202 15082821 15933123 16170386 23014511 24255579 30165642 31866246 46029022 47799369 48511158 69043533 72766737 95598738 105107509 138087066 145533474 207130599 210215018 218300211 315322527 414261198 436600422 621391797 630645054 784263721 945967581 1242783594 1568527442 1891935162 2352791163 2837902743 4705582326 5675805486 7058373489 10195428373 14116746978 20390856746 21175120467 30586285119 42350240934 61172570238 91758855357 183517710714 275276566071 550553132142