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425522130400 = 255219101277177
BaseRepresentation
bin1100011000100110001…
…10000110110111100000
31111200100100221221001201
412030103012012313200
523432432131133100
6523252052010544
742512556300313
oct6142306066740
91450310857051
10425522130400
11154510170754
126a576600a54
13311850a7953
1416849a2297a
15b10735636a
hex6313186de0

425522130400 has 144 divisors (see below), whose sum is σ = 1104310413360. Its totient is φ = 159653376000.

The previous prime is 425522130359. The next prime is 425522130499. The reversal of 425522130400 is 4031225524.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1396612 + ... + 1673788.

It is an arithmetic number, because the mean of its divisors is an integer number (7668822315).

Almost surely, 2425522130400 is an apocalyptic number.

425522130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425522130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552155206680).

425522130400 is an abundant number, since it is smaller than the sum of its proper divisors (678788282960).

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

425522130400 is a wasteful number, since it uses less digits than its factorization.

425522130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277317 (or 277304 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 425522130400 its reverse (4031225524), we get a palindrome (429553355924).

The spelling of 425522130400 in words is "four hundred twenty-five billion, five hundred twenty-two million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 101 152 160 190 200 202 304 380 400 404 475 505 608 760 800 808 950 1010 1520 1616 1900 1919 2020 2525 3040 3232 3800 3838 4040 5050 7600 7676 8080 9595 10100 15200 15352 16160 19190 20200 30704 38380 40400 47975 61408 76760 80800 95950 153520 191900 277177 307040 383800 554354 767600 1108708 1385885 1535200 2217416 2771770 4434832 5266363 5543540 6929425 8869664 10532726 11087080 13858850 21065452 22174160 26331815 27717700 27994877 42130904 44348320 52663630 55435400 55989754 84261808 105327260 110870800 111979508 131659075 139974385 168523616 210654520 221741600 223959016 263318150 279948770 421309040 447918032 526636300 531902663 559897540 699871925 842618080 895836064 1053272600 1063805326 1119795080 1399743850 2106545200 2127610652 2239590160 2659513315 2799487700 4213090400 4255221304 4479180320 5319026630 5598975400 8510442608 10638053260 11197950800 13297566575 17020885216 21276106520 22395901600 26595133150 42552213040 53190266300 85104426080 106380532600 212761065200 425522130400