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2068198272 = 2735722359
BaseRepresentation
bin111101101000110…
…0011001110000000
312100010200100200000
41323101203032000
513213424321042
6541120400000
7102152252400
oct17321431600
95303610600
102068198272
11971497a78
12498776000
1326c634a7a
1415896c800
15c188474c
hex7b463380

2068198272 has 576 divisors, whose sum is σ = 7618665600. Its totient is φ = 555641856.

The previous prime is 2068198271. The next prime is 2068198289. The reversal of 2068198272 is 2728918602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068198271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35054179 + ... + 35054237.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 22068198272 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 2068198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

2068198272 is an abundant number, since it is smaller than the sum of its proper divisors (5550467328).

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

2068198272 is an equidigital number, since it uses as much as digits as its factorization.

2068198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2068198272 is about 45477.4479495057. The cubic root of 2068198272 is about 1274.0820298991.

The spelling of 2068198272 in words is "two billion, sixty-eight million, one hundred ninety-eight thousand, two hundred seventy-two".