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1630640781 = 337111941281
BaseRepresentation
bin110000100110001…
…1001101010001101
311012122100010122000
41201030121222031
511314421001111
6425450142513
755260134520
oct14114315215
94178303560
101630640781
117674aa610
12396121a39
131ccaa3603
141167ccbb7
1598252c56
hex61319a8d

1630640781 has 64 divisors (see below), whose sum is σ = 3170457600. Its totient is φ = 802483200.

The previous prime is 1630640777. The next prime is 1630640789. The reversal of 1630640781 is 1870460361.

1630640781 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 640 + 7 + 8 + 1 = 666.

It is not a de Polignac number, because 1630640781 - 22 = 1630640777 is a prime.

It is a super-2 number, since 2×16306407812 = 5317978713320579922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630640789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18861 + ... + 60141.

It is an arithmetic number, because the mean of its divisors is an integer number (49538400).

Almost surely, 21630640781 is an apocalyptic number.

1630640781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1630640781 is a deficient number, since it is larger than the sum of its proper divisors (1539816819).

1630640781 is a wasteful number, since it uses less digits than its factorization.

1630640781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41327 (or 41321 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1630640781 is about 40381.1934073276. The cubic root of 1630640781 is about 1177.0261178852.

It can be divided in two parts, 1630 and 640781, that added together give a triangular number (642411 = T1133).

The spelling of 1630640781 in words is "one billion, six hundred thirty million, six hundred forty thousand, seven hundred eighty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 41281 123843 288967 371529 454091 784339 866901 1114587 1362273 2353017 2600703 3178637 4086819 5490373 7059051 7802109 8627729 9535911 12260457 16471119 21177153 25883187 28607733 49413357 60394103 77649561 85823199 148240071 181182309 232948683 543546927 1630640781