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20001251536 = 24717234431031
BaseRepresentation
bin10010101000001010…
…101110000011010000
31220121220212212000221
4102220022232003100
5311430310022121
613104412122424
71305435555460
oct225012560320
956556785027
1020001251536
118534204352
123a62466414
131b69a254a6
14d7a52dba0
157c0e16b41
hex4a82ae0d0

20001251536 has 160 divisors (see below), whose sum is σ = 49090572288. Its totient is φ = 7692072960.

The previous prime is 20001251489. The next prime is 20001251539. The reversal of 20001251536 is 63515210002.

It is a self number, because there is not a number n which added to its sum of digits gives 20001251536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001251539) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19399341 + ... + 19400371.

Almost surely, 220001251536 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 20001251536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24545286144).

20001251536 is an abundant number, since it is smaller than the sum of its proper divisors (29089320752).

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

20001251536 is a wasteful number, since it uses less digits than its factorization.

20001251536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 20001251536 its reverse (63515210002), we get a palindrome (83516461538).

The spelling of 20001251536 in words is "twenty billion, one million, two hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 443 476 644 782 886 952 1031 1288 1564 1772 1904 2062 2576 2737 3101 3128 3544 4124 5474 6202 6256 7088 7217 7531 8248 10189 10948 12404 14434 15062 16496 17527 20378 21896 23713 24808 28868 30124 35054 40756 43792 47426 49616 52717 57736 60248 70108 71323 81512 94852 105434 115472 120496 122689 140216 142646 163024 165991 173213 189704 210868 245378 280432 285292 331982 346426 379408 403121 421736 456733 490756 570584 663964 692852 806242 843472 913466 981512 1141168 1212491 1327928 1385704 1612484 1826932 1963024 2424982 2655856 2771408 2821847 3197131 3224968 3653864 4849964 5643694 6394262 6449936 7307728 7764461 9699928 10504859 11287388 12788524 15528922 19399856 21009718 22574776 25577048 31057844 42019436 45149552 51154096 54351227 62115688 73534013 84038872 108702454 124231376 147068026 168077744 178582603 217404908 294136052 357165206 434809816 588272104 714330412 869619632 1176544208 1250078221 1428660824 2500156442 2857321648 5000312884 10000625768 20001251536