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203514341216 = 25291487147481
BaseRepresentation
bin1011110110001001100…
…1100110011101100000
3201110022021010201100012
42331202121212131200
511313244132404331
6233254310344052
720463163233524
oct2754231463540
9643267121305
10203514341216
11793455a382a
123353865b028
131626443a314
149bc8b33d84
155461c6582b
hex2f62666760

203514341216 has 48 divisors (see below), whose sum is σ = 414766578240. Its totient is φ = 98181565440.

The previous prime is 203514341153. The next prime is 203514341269. The reversal of 203514341216 is 612143415302.

203514341216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1306196 + ... + 1453676.

It is an arithmetic number, because the mean of its divisors is an integer number (8640970380).

Almost surely, 2203514341216 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 203514341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207383289120).

203514341216 is an abundant number, since it is smaller than the sum of its proper divisors (211252237024).

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

203514341216 is a wasteful number, since it uses less digits than its factorization.

203514341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149007 (or 148999 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 203514341216 its reverse (612143415302), we get a palindrome (815657756518).

The spelling of 203514341216 in words is "two hundred three billion, five hundred fourteen million, three hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1487 2974 5948 11896 23792 43123 47584 86246 147481 172492 294962 344984 589924 689968 1179848 1379936 2359696 4276949 4719392 8553898 17107796 34215592 68431184 136862368 219304247 438608494 877216988 1754433976 3508867952 6359823163 7017735904 12719646326 25439292652 50878585304 101757170608 203514341216