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20061606320 = 2457671513541
BaseRepresentation
bin10010101011110000…
…111101000110110000
31220210010110012020022
4102223300331012300
5312041232400240
613114405503012
71310100561110
oct225360750660
956703405208
1020061606320
118565287838
123a7a711a68
131b79397a92
14d84561040
157c63899b5
hex4abc3d1b0

20061606320 has 160 divisors (see below), whose sum is σ = 54475846656. Its totient is φ = 6728832000.

The previous prime is 20061606287. The next prime is 20061606329. The reversal of 20061606320 is 2360616002.

It is a Cunningham number, because it is equal to 1416392-1.

It is a self number, because there is not a number n which added to its sum of digits gives 20061606320.

It is not an unprimeable number, because it can be changed into a prime (20061606329) 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 31 ways as a sum of consecutive naturals, for example, 5663750 + ... + 5667290.

Almost surely, 220061606320 is an apocalyptic number.

20061606320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20061606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27237923328).

20061606320 is an abundant number, since it is smaller than the sum of its proper divisors (34414240336).

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

20061606320 is a wasteful number, since it uses less digits than its factorization.

20061606320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 20061606320 in words is "twenty billion, sixty-one million, six hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 151 268 280 302 335 469 536 560 604 670 755 938 1057 1072 1208 1340 1510 1876 2114 2345 2416 2680 3020 3541 3752 4228 4690 5285 5360 6040 7082 7504 8456 9380 10117 10570 12080 14164 16912 17705 18760 20234 21140 24787 28328 35410 37520 40468 42280 49574 50585 56656 70819 70820 80936 84560 99148 101170 123935 141638 141640 161872 198296 202340 237247 247870 283276 283280 354095 396592 404680 474494 495740 534691 566552 708190 809360 948988 991480 1069382 1133104 1186235 1416380 1660729 1897976 1982960 2138764 2372470 2673455 2832760 3321458 3742837 3795952 4277528 4744940 5346910 5665520 6642916 7485674 8303645 8555056 9489880 10693820 13285832 14971348 16607290 18714185 18979760 21387640 26571664 29942696 33214580 35824297 37428370 42775280 59885392 66429160 71648594 74856740 132858320 143297188 149713480 179121485 250770079 286594376 299426960 358242970 501540158 573188752 716485940 1003080316 1253850395 1432971880 2006160632 2507700790 2865943760 4012321264 5015401580 10030803160 20061606320