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203390998272 = 2833711401953
BaseRepresentation
bin1011110101101100001…
…1000101011100000000
3201102222200001020122000
42331123003011130000
511313021043421042
6233234142544000
720460134650230
oct2753303053400
9642880036560
10203390998272
1179291a09410
1233503298000
1316244a12927
149bb65c7cc0
155455eee74c
hex2f5b0c5700

203390998272 has 576 divisors, whose sum is σ = 752534737920. Its totient is φ = 52641792000.

The previous prime is 203390998231. The next prime is 203390998289. The reversal of 203390998272 is 272899093302.

It is a happy number.

203390998272 is a `hidden beast` number, since 20 + 3 + 390 + 99 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 213421348 + ... + 213422300.

It is an arithmetic number, because the mean of its divisors is an integer number (1306483920).

Almost surely, 2203390998272 is an apocalyptic number.

203390998272 is a gapful number since it is divisible by the number (22) 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 203390998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376267368960).

203390998272 is an abundant number, since it is smaller than the sum of its proper divisors (549143739648).

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

203390998272 is a wasteful number, since it uses less digits than its factorization.

203390998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 203390998272 in words is "two hundred three billion, three hundred ninety million, nine hundred ninety-eight thousand, two hundred seventy-two".