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425012113200 = 243521877188693
BaseRepresentation
bin1100010111101001011…
…00100010111100110000
31111122000211021100222210
412023310230202330300
523430411100110300
6523125312332120
742464124232563
oct6136454427460
91448024240883
10425012113200
11154279292234
126a453844040
133110352621c
14167dbdc04da
15b0c76b0050
hex62f4b22f30

425012113200 has 120 divisors (see below), whose sum is σ = 1362188024208. Its totient is φ = 113275581440.

The previous prime is 425012113187. The next prime is 425012113217. The reversal of 425012113200 is 2311210524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4250121132002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2158054 + ... + 2346746.

Almost surely, 2425012113200 is an apocalyptic number.

425012113200 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 425012113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681094012104).

425012113200 is an abundant number, since it is smaller than the sum of its proper divisors (937175911008).

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

425012113200 is a wasteful number, since it uses less digits than its factorization.

425012113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190591 (or 190580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 425012113200 its reverse (2311210524), we get a palindrome (427323323724).

The spelling of 425012113200 in words is "four hundred twenty-five billion, twelve million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1877 3754 5631 7508 9385 11262 15016 18770 22524 28155 30032 37540 45048 46925 56310 75080 90096 93850 112620 140775 150160 187700 188693 225240 281550 375400 377386 450480 563100 566079 750800 754772 943465 1126200 1132158 1509544 1886930 2252400 2264316 2830395 3019088 3773860 4528632 4717325 5660790 7547720 9057264 9434650 11321580 14151975 15095440 18869300 22643160 28303950 37738600 45286320 56607900 75477200 113215800 226431600 354176761 708353522 1062530283 1416707044 1770883805 2125060566 2833414088 3541767610 4250121132 5312651415 5666828176 7083535220 8500242264 8854419025 10625302830 14167070440 17000484528 17708838050 21250605660 26563257075 28334140880 35417676100 42501211320 53126514150 70835352200 85002422640 106253028300 141670704400 212506056600 425012113200