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522552041000144 = 242367152313915763
BaseRepresentation
bin111011011010000100010000…
…0110001111100110011010000
32112112012111011012102102202122
41312310020200301330303100
51021442443034444001034
65051213032115233412
7215032065465533561
oct16664104061746320
92475174135372678
10522552041000144
11141557092271811
124a7361052a8868
13195765a4bca75c
149307921baa168
154062b9eeea62e
hex1db4220c7ccd0

522552041000144 has 80 divisors (see below), whose sum is σ = 1072936130406912. Its totient is φ = 246024437898624.

The previous prime is 522552041000123. The next prime is 522552041000147. The reversal of 522552041000144 is 441000140255225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522552041000147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30593207 + ... + 44508969.

Almost surely, 2522552041000144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 522552041000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536468065203456).

522552041000144 is an abundant number, since it is smaller than the sum of its proper divisors (550384089406768).

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

522552041000144 is a wasteful number, since it uses less digits than its factorization.

522552041000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13917384 (or 13917378 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 522552041000144 its reverse (441000140255225), we get a palindrome (963552181255369).

The spelling of 522552041000144 in words is "five hundred twenty-two trillion, five hundred fifty-two billion, forty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 536 1072 1523 1541 3046 3082 6092 6164 12184 12328 24368 24656 35029 70058 102041 140116 204082 280232 408164 560464 816328 1632656 2346943 4693886 9387772 13915763 18775544 27831526 37551088 55663052 111326104 222652208 320062549 640125098 932356121 1280250196 1864712242 2560500392 3729424484 5121000784 7458848968 14917697936 21193707049 21444190783 42387414098 42888381566 84774828196 85776763132 169549656392 171553526264 339099312784 343107052528 487455262127 974910524254 1419978372283 1949821048508 2839956744566 3899642097016 5679913489132 7799284194032 11359826978264 22719653956528 32659502562509 65319005125018 130638010250036 261276020500072 522552041000144