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2523424243252 = 2211247595873203
BaseRepresentation
bin100100101110000111110…
…011100011111000110100
322221020101202220102010111
4210232013303203320310
5312320433101241002
65211124535032404
7350211543106663
oct44560763437064
98836352812114
102523424243252
118931a6221a00
1234908180b704
13153c5b6204c3
148a1c4a76dda
15459902c23d7
hex24b87ce3e34

2523424243252 has 144 divisors (see below), whose sum is σ = 5051402818560. Its totient is φ = 1101355309120.

The previous prime is 2523424243217. The next prime is 2523424243253.

2523424243252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25234242432522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523424243253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787829883 + ... + 787833085.

It is an arithmetic number, because the mean of its divisors is an integer number (35079186240).

Almost surely, 22523424243252 is an apocalyptic number.

2523424243252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2523424243252 is an abundant number, since it is smaller than the sum of its proper divisors (2527978575308).

2523424243252 is a wasteful number, since it uses less digits than its factorization.

2523424243252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3909 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

The spelling of 2523424243252 in words is "two trillion, five hundred twenty-three billion, four hundred twenty-four million, two hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 47 59 94 118 121 188 236 242 484 517 587 649 1034 1174 1298 2068 2348 2596 2773 3203 5546 5687 6406 6457 7139 11092 11374 12812 12914 14278 22748 25828 27589 28556 30503 34633 35233 55178 61006 69266 70466 71027 110356 122012 138532 140932 142054 150541 188977 284108 301082 303479 335533 377954 380963 387563 602164 606958 671066 755908 761926 775126 1213916 1342132 1523852 1550252 1627751 1655951 1880161 2078747 3255502 3311902 3338269 3760322 4157494 4190593 6511004 6623804 6676538 7520644 8314988 8381186 8881919 13353076 16762372 17763838 17905261 18215461 20681771 22866217 35527676 35810522 36430922 41363542 45732434 71621044 72861844 82727084 88367567 91464868 97701109 110929499 176735134 195402218 196957871 221858998 227499481 353470268 390804436 393915742 443717996 454998962 787831484 909997924 972043237 1074712199 1220224489 1944086474 2149424398 2440448978 3888172948 4298848796 4880897956 5213686453 10427372906 10692475607 13422469379 20854745812 21384951214 26844938758 42769902428 53689877516 57350550983 114701101966 229402203932 630856060813 1261712121626 2523424243252