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450425250120 = 233547273129243
BaseRepresentation
bin1101000110111110110…
…11111110000101001000
31121001121220120111010010
412203133123332011020
524334432331000440
6542531132151520
744353646312016
oct6433733760510
91531556514103
10450425250120
1116402a34712a
12733666085a0
1333623520651
1417b2d18b8b6
15bab378d580
hex68df6fe148

450425250120 has 128 divisors (see below), whose sum is σ = 1380578826240. Its totient is φ = 117510731520.

The previous prime is 450425250103. The next prime is 450425250157. The reversal of 450425250120 is 21052524054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15388219 + ... + 15417461.

It is an arithmetic number, because the mean of its divisors is an integer number (10785772080).

Almost surely, 2450425250120 is an apocalyptic number.

450425250120 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 450425250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690289413120).

450425250120 is an abundant number, since it is smaller than the sum of its proper divisors (930153576120).

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

450425250120 is a wasteful number, since it uses less digits than its factorization.

450425250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32035 (or 32031 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 450425250120 its reverse (21052524054), we get a palindrome (471477774174).

The spelling of 450425250120 in words is "four hundred fifty billion, four hundred twenty-five million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2731 2820 5462 5640 8193 10924 13655 16386 21848 27310 29243 32772 40965 54620 58486 65544 81930 87729 109240 116972 128357 146215 163860 175458 233944 256714 292430 327720 350916 385071 438645 513428 584860 641785 701832 770142 877290 1026856 1169720 1283570 1374421 1540284 1754580 1925355 2567140 2748842 3080568 3509160 3850710 4123263 5134280 5497684 6872105 7701420 8246526 10995368 13744210 15402840 16493052 20616315 27488420 32986104 41232630 54976840 79862633 82465260 159725266 164930520 239587899 319450532 399313165 479175798 638901064 798626330 958351596 1197939495 1597252660 1916703192 2395878990 3194505320 3753543751 4791757980 7507087502 9583515960 11260631253 15014175004 18767718755 22521262506 30028350008 37535437510 45042525012 56303156265 75070875020 90085050024 112606312530 150141750040 225212625060 450425250120