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20247335712 = 25321923160877
BaseRepresentation
bin10010110110110101…
…011101001100100000
31221021001221020001200
4102312311131030200
5312431304220322
613145042401200
71314514341162
oct226665351440
957231836050
1020247335712
118650102aaa
123b10960200
131ba89c6726
14da10aa932
157d78258ac
hex4b6d5d320

20247335712 has 144 divisors (see below), whose sum is σ = 63244359360. Its totient is φ = 6115862016.

The previous prime is 20247335671. The next prime is 20247335729. The reversal of 20247335712 is 21753374202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 45418 + ... + 206294.

It is an arithmetic number, because the mean of its divisors is an integer number (439196940).

Almost surely, 220247335712 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 20247335712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31622179680).

20247335712 is an abundant number, since it is smaller than the sum of its proper divisors (42997023648).

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

20247335712 is a wasteful number, since it uses less digits than its factorization.

20247335712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160935 (or 160924 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20247335712 in words is "twenty billion, two hundred forty-seven million, three hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 684 736 828 874 912 1104 1311 1368 1656 1748 1824 2208 2622 2736 3312 3496 3933 5244 5472 6624 6992 7866 10488 13984 15732 20976 31464 41952 62928 125856 160877 321754 482631 643508 965262 1287016 1447893 1930524 2574032 2895786 3056663 3700171 3861048 5148064 5791572 6113326 7400342 7722096 9169989 11100513 11583144 12226652 14800684 15444192 18339978 22201026 23166288 24453304 27509967 29601368 33301539 36679956 44402052 46332576 48906608 55019934 59202736 66603078 70303249 73359912 88804104 97813216 110039868 118405472 133206156 140606498 146719824 177608208 210909747 220079736 266412312 281212996 293439648 355216416 421819494 440159472 532824624 562425992 632729241 843638988 880318944 1065649248 1124851984 1265458482 1687277976 2249703968 2530916964 3374555952 5061833928 6749111904 10123667856 20247335712