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2066631435 = 3351117711153
BaseRepresentation
bin111101100101110…
…0100101100001011
312100000201202101000
41323023210230023
513213024201220
6541023030043
7102133035351
oct17313445413
95300652330
102066631435
11970617870
1249813b323
1326c20684b
141586817d1
15c1675390
hex7b2e4b0b

2066631435 has 128 divisors (see below), whose sum is σ = 4307281920. Its totient is φ = 928972800.

The previous prime is 2066631431. The next prime is 2066631473. The reversal of 2066631435 is 5341366602.

It is not a de Polignac number, because 2066631435 - 22 = 2066631431 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2066631435.

It is not an unprimeable number, because it can be changed into a prime (2066631431) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1791819 + ... + 1792971.

It is an arithmetic number, because the mean of its divisors is an integer number (33650640).

Almost surely, 22066631435 is an apocalyptic number.

2066631435 is an abundant number, since it is smaller than the sum of its proper divisors (2240650485).

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

2066631435 is a wasteful number, since it uses less digits than its factorization.

2066631435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2066631435 is about 45460.2181582975. The cubic root of 2066631435 is about 1273.7602065965.

The spelling of 2066631435 in words is "two billion, sixty-six million, six hundred thirty-one thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 71 85 99 135 153 165 187 213 255 297 355 459 495 561 639 765 781 935 1065 1153 1207 1485 1683 1917 2295 2343 2805 3195 3459 3621 3905 5049 5765 6035 7029 8415 9585 10377 10863 11715 12683 13277 17295 18105 19601 21087 25245 31131 32589 35145 38049 39831 51885 54315 58803 63415 66385 81863 98005 105435 114147 119493 155655 162945 176409 190245 199155 215611 245589 294015 342441 358479 409315 529227 570735 597465 646833 736767 882045 900493 1078055 1227945 1391671 1712205 1792395 1940499 2210301 2646135 2701479 3234165 3683835 4175013 4502465 5821497 6958355 8104437 9702495 11051505 12525039 13507395 15308381 20875065 24313311 29107485 37575117 40522185 45925143 62625195 76541905 121566555 137775429 187875585 229625715 413326287 688877145 2066631435