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20493067712 = 2613233892753
BaseRepresentation
bin10011000101011110…
…110110010111000000
31221220012022200222212
4103011132312113000
5313432211131322
613225301321252
71323560126045
oct230536662700
957805280885
1020493067712
1187668910a7
123b7b106228
131c178a3590
14dc59951cc
157ee1b50e2
hex4c57b65c0

20493067712 has 112 divisors (see below), whose sum is σ = 45832288320. Its totient is φ = 9020571648.

The previous prime is 20493067711. The next prime is 20493067717. The reversal of 20493067712 is 21776039402.

It is a self number, because there is not a number n which added to its sum of digits gives 20493067712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20493067711) 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 15 ways as a sum of consecutive naturals, for example, 7442528 + ... + 7445280.

It is an arithmetic number, because the mean of its divisors is an integer number (409216860).

Almost surely, 220493067712 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 20493067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916144160).

20493067712 is an abundant number, since it is smaller than the sum of its proper divisors (25339220608).

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

20493067712 is a wasteful number, since it uses less digits than its factorization.

20493067712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 20493067712 in words is "twenty billion, four hundred ninety-three million, sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 389 416 598 736 778 832 1196 1472 1556 2392 2753 3112 4784 5057 5506 6224 8947 9568 10114 11012 12448 17894 19136 20228 22024 24896 35788 35789 40456 44048 63319 71576 71578 80912 88096 116311 126638 143152 143156 161824 176192 232622 253276 286304 286312 323648 465244 506552 572608 572624 823147 930488 1013104 1070917 1145248 1646294 1860976 2026208 2141834 2290496 3292588 3721952 4052416 4283668 6585176 7443904 8567336 13170352 13921921 17134672 24631091 26340704 27843842 34269344 49262182 52681408 55687684 68538688 98524364 111375368 197048728 222750736 320204183 394097456 445501472 640408366 788194912 891002944 1280816732 1576389824 2561633464 5123266928 10246533856 20493067712