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5801781636 = 2232770132843
BaseRepresentation
bin1010110011101000…
…00010100110000100
3112222100002001012100
411121310002212010
543340224003021
62355412152100
7263526221160
oct53164024604
915870061170
105801781636
112507a55462
12115b008630
13715cb66b1
143d0771ca0
1523e531626
hex159d02984

5801781636 has 72 divisors (see below), whose sum is σ = 16785123264. Its totient is φ = 1655236800.

The previous prime is 5801781619. The next prime is 5801781659. The reversal of 5801781636 is 6361871085.

5801781636 is a `hidden beast` number, since 5 + 8 + 0 + 1 + 7 + 8 + 1 + 636 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5801781591 and 5801781600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160231 + ... + 193073.

It is an arithmetic number, because the mean of its divisors is an integer number (233126712).

Almost surely, 25801781636 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 5801781636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392561632).

5801781636 is an abundant number, since it is smaller than the sum of its proper divisors (10983341628).

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

5801781636 is a wasteful number, since it uses less digits than its factorization.

5801781636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33561 (or 33556 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5801781636 is about 76169.4271738996. The cubic root of 5801781636 is about 1796.8857297672.

The spelling of 5801781636 in words is "five billion, eight hundred one million, seven hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1402 2103 2804 4206 4907 6309 8412 9814 12618 14721 19628 25236 29442 32843 44163 58884 65686 88326 98529 131372 176652 197058 229901 295587 394116 459802 591174 689703 919604 1182348 1379406 2069109 2758812 4138218 8276436 23022943 46045886 69068829 92091772 138137658 161160601 207206487 276275316 322321202 414412974 483481803 644642404 828825948 966963606 1450445409 1933927212 2900890818 5801781636