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4522003013214 = 23617922377699
BaseRepresentation
bin100000111001101110001…
…1000100001111001011110
3121000022002011110022000000
41001303130120201321132
51043042030232410324
613341213550115130
7644463310261161
oct101633430417136
917008064408000
104522003013214
1114938528a3605
126104897abaa6
1326a5665b1b4b
14118c1a889ad8
157c9636149c9
hex41cdc621e5e

4522003013214 has 112 divisors (see below), whose sum is σ = 10272661056000. Its totient is φ = 1492172685648.

The previous prime is 4522003013137. The next prime is 4522003013287. The reversal of 4522003013214 is 4123103002254.

4522003013214 is a `hidden beast` number, since 4 + 522 + 0 + 0 + 3 + 0 + 132 + 1 + 4 = 666.

It is a super-2 number, since 2×45220030132142 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 58160137 + ... + 58237835.

It is an arithmetic number, because the mean of its divisors is an integer number (91720188000).

Almost surely, 24522003013214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522003013214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136330528000).

4522003013214 is an abundant number, since it is smaller than the sum of its proper divisors (5750658042786).

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

4522003013214 is a wasteful number, since it uses less digits than its factorization.

4522003013214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78121 (or 78106 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4522003013214 its reverse (4123103002254), we get a palindrome (8645106015468).

The spelling of 4522003013214 in words is "four trillion, five hundred twenty-two billion, three million, thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 223 243 358 446 486 537 669 729 1074 1338 1458 1611 2007 3222 4014 4833 6021 9666 12042 14499 18063 28998 36126 39917 43497 54189 77699 79834 86994 108378 119751 130491 155398 162567 233097 239502 260982 325134 359253 466194 699291 718506 1077759 1398582 2097873 2155518 3233277 4195746 6293619 6466554 9699831 12587238 13908121 17326877 18880857 19399662 27816242 29099493 34653754 37761714 41724363 51980631 56642571 58198986 83448726 103961262 113285142 125173089 155941893 250346178 311883786 375519267 467825679 751038534 935651358 1126557801 1403477037 2253115602 2806954074 3101510983 3379673403 4210431111 6203021966 6759346806 8420862222 9304532949 10139020209 12631293333 18609065898 20278040418 25262586666 27913598847 55827197694 83740796541 167481593082 251222389623 502444779246 753667168869 1507334337738 2261001506607 4522003013214