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20166960464 = 2471723538689
BaseRepresentation
bin10010110010000010…
…110110010101010000
31221001110200201221122
4102302002312111100
5312300220213324
613133051541412
71312520223050
oct226202662520
957043621848
1020166960464
1186097a5982
123aa9a5a868
131b95164601
14d94547560
157d074aa5e
hex4b20b6550

20166960464 has 160 divisors (see below), whose sum is σ = 50274639360. Its totient is φ = 7633207296.

The previous prime is 20166960461. The next prime is 20166960479. The reversal of 20166960464 is 46406966102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20166960461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316632 + ... + 2325320.

It is an arithmetic number, because the mean of its divisors is an integer number (314216496).

Almost surely, 220166960464 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 20166960464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137319680).

20166960464 is an abundant number, since it is smaller than the sum of its proper divisors (30107678896).

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

20166960464 is a wasteful number, since it uses less digits than its factorization.

20166960464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 20166960464 in words is "twenty billion, one hundred sixty-six million, nine hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 53 56 68 92 106 112 119 136 161 184 212 238 272 322 368 371 391 424 476 644 742 782 848 901 952 1219 1288 1484 1564 1802 1904 2438 2576 2737 2968 3128 3604 4876 5474 5936 6256 6307 7208 8533 8689 9752 10948 12614 14416 17066 17378 19504 20723 21896 25228 34132 34756 41446 43792 50456 60823 68264 69512 82892 100912 121646 136528 139024 145061 147713 165784 199847 243292 290122 295426 331568 399694 460517 486584 580244 590852 799388 921034 973168 1033991 1160488 1181704 1398929 1598776 1842068 2067982 2320976 2363408 2797858 3197552 3223619 3397399 3684136 4135964 5595716 6447238 6794798 7368272 7828789 8271928 10591891 11191432 12894476 13589596 15657578 16543856 21183782 22382864 23781793 25788952 27179192 31315156 42367564 47563586 51577904 54358384 54801523 62630312 74143237 84735128 95127172 109603046 125260624 148286474 169470256 180062147 190254344 219206092 296572948 360124294 380508688 438412184 593145896 720248588 876824368 1186291792 1260435029 1440497176 2520870058 2880994352 5041740116 10083480232 20166960464