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203448260472 = 233315317093019
BaseRepresentation
bin1011110101111001110…
…1100001011101111000
3201110010122210110121020
42331132131201131320
511313130223313342
6233243550142440
720461431452352
oct2753635413570
9643118713536
10203448260472
117931126a346
123351a4b1a20
13162538416a2
149bc00520d2
15545b0610ec
hex2f5e761778

203448260472 has 128 divisors (see below), whose sum is σ = 535424256000. Its totient is φ = 64331205120.

The previous prime is 203448260417. The next prime is 203448260531. The reversal of 203448260472 is 274062844302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67387779 + ... + 67390797.

It is an arithmetic number, because the mean of its divisors is an integer number (4183002000).

Almost surely, 2203448260472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203448260472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267712128000).

203448260472 is an abundant number, since it is smaller than the sum of its proper divisors (331975995528).

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

203448260472 is a wasteful number, since it uses less digits than its factorization.

203448260472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 203448260472 in words is "two hundred three billion, four hundred forty-eight million, two hundred sixty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1272 1643 1709 3019 3286 3418 4929 5127 6038 6572 6836 9057 9858 10254 12076 13144 13672 18114 19716 20508 24152 36228 39432 41016 52979 72456 90577 93589 105958 158937 160007 181154 187178 211916 271731 280767 317874 320014 362308 374356 423832 480021 543462 561534 635748 640028 724616 748712 960042 1086924 1123068 1271496 1280056 1920084 2173848 2246136 2807887 3840168 4960217 5159471 5615774 8423661 9920434 10318942 11231548 14880651 15478413 16847322 19840868 20637884 22463096 29761302 30956826 33694644 39681736 41275768 59522604 61913652 67389288 119045208 123827304 159943601 273451963 319887202 479830803 546903926 639774404 820355889 959661606 1093807852 1279548808 1640711778 1919323212 2187615704 3281423556 3838646424 6562847112 8477010853 16954021706 25431032559 33908043412 50862065118 67816086824 101724130236 203448260472