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20030566024 = 2375367263383
BaseRepresentation
bin10010101001111010…
…100010111010001000
31220200222001011221201
4102221322202322020
5312010311103044
613111340313544
71306243000450
oct225172427210
956628034851
1020030566024
1185498067a7
123a702428b4
131b72b1a441
14d803a0d60
157c37a77d4
hex4a9ea2e88

20030566024 has 128 divisors (see below), whose sum is σ = 44670320640. Its totient is φ = 8243718912.

The previous prime is 20030566009. The next prime is 20030566037. The reversal of 20030566024 is 42066503002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20030565983 and 20030566001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52298937 + ... + 52299319.

It is an arithmetic number, because the mean of its divisors is an integer number (348986880).

Almost surely, 220030566024 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 20030566024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335160320).

20030566024 is an abundant number, since it is smaller than the sum of its proper divisors (24639754616).

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

20030566024 is a wasteful number, since it uses less digits than its factorization.

20030566024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 20030566024 in words is "twenty billion, thirty million, five hundred sixty-six thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 67 106 134 212 263 268 371 383 424 469 526 536 742 766 938 1052 1484 1532 1841 1876 2104 2681 2968 3064 3551 3682 3752 5362 7102 7364 10724 13939 14204 14728 17621 20299 21448 24857 25661 27878 28408 35242 40598 49714 51322 55756 70484 81196 97573 99428 100729 102644 111512 123347 140968 142093 162392 179627 195146 198856 201458 205288 246694 284186 359254 390292 402916 493388 568372 705103 718508 780584 805832 933913 986776 1136744 1360033 1410206 1437016 1867826 2720066 2820412 3735652 5338637 5440132 5640824 6537391 6748843 7471304 9520231 10677274 10880264 13074782 13497686 19040462 21354548 26149564 26995372 37370459 38080924 42709096 47241901 52299128 53990744 74740918 76161848 94483802 149481836 188967604 298963672 357688679 377935208 715377358 1430754716 2503820753 2861509432 5007641506 10015283012 20030566024