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20301188976 = 2433972691801
BaseRepresentation
bin10010111010000010…
…111000111101110000
31221101211021020212000
4102322002320331300
5313034101021401
613154244534000
71316040154605
oct227202707560
957354236760
1020301188976
118678545832
123b269b1300
131bb6c00973
14da82c86ac
157dc412186
hex4ba0b8f70

20301188976 has 160 divisors (see below), whose sum is σ = 59124340800. Its totient is φ = 6668697600.

The previous prime is 20301188933. The next prime is 20301188987. The reversal of 20301188976 is 67988110302.

It is a congruent number.

It is an unprimeable number.

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, 11271276 + ... + 11273076.

It is an arithmetic number, because the mean of its divisors is an integer number (369527130).

Almost surely, 220301188976 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 20301188976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29562170400).

20301188976 is an abundant number, since it is smaller than the sum of its proper divisors (38823151824).

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

20301188976 is a wasteful number, since it uses less digits than its factorization.

20301188976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20301188976 in words is "twenty billion, three hundred one million, one hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 269 291 388 432 538 582 776 807 873 1076 1164 1552 1614 1746 1801 2152 2328 2421 2619 3228 3492 3602 4304 4656 4842 5238 5403 6456 6984 7204 7263 9684 10476 10806 12912 13968 14408 14526 16209 19368 20952 21612 26093 28816 29052 32418 38736 41904 43224 48627 52186 58104 64836 78279 86448 97254 104372 116208 129672 156558 174697 194508 208744 234837 259344 313116 349394 389016 417488 469674 484469 524091 626232 698788 704511 778032 939348 968938 1048182 1252464 1397576 1409022 1453407 1572273 1878696 1937876 2096364 2795152 2818044 2906814 3144546 3757392 3875752 4192728 4360221 4716819 5636088 5813628 6289092 7751504 8385456 8720442 9433638 11272176 11627256 12578184 13080663 17440884 18867276 23254512 25156368 26161326 34881768 37734552 46993493 52322652 69763536 75469104 93986986 104645304 140980479 187973972 209290608 281960958 375947944 422941437 563921916 751895888 845882874 1127843832 1268824311 1691765748 2255687664 2537648622 3383531496 5075297244 6767062992 10150594488 20301188976