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20720666064 = 2437234925243
BaseRepresentation
bin10011010011000011…
…000100010111010000
31222111001120220020110
4103103003010113100
5314413442303224
613304031441320
71332322520100
oct232303042720
958431526213
1020720666064
11887330410a
124023386240
131c52aa1667
141007cbd200
15814171929
hex4d30c45d0

20720666064 has 120 divisors (see below), whose sum is σ = 62448607200. Its totient is φ = 5902993152.

The previous prime is 20720666027. The next prime is 20720666123. The reversal of 20720666064 is 46066602702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808227 + ... + 833469.

It is an arithmetic number, because the mean of its divisors is an integer number (520405060).

Almost surely, 220720666064 is an apocalyptic number.

20720666064 is a gapful number since it is divisible by the number (24) 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 20720666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224303600).

20720666064 is an abundant number, since it is smaller than the sum of its proper divisors (41727941136).

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

20720666064 is a wasteful number, since it uses less digits than its factorization.

20720666064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25617 (or 25604 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 20720666064 in words is "twenty billion, seven hundred twenty million, six hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 349 392 588 698 784 1047 1176 1396 2094 2352 2443 2792 4188 4886 5584 7329 8376 9772 14658 16752 17101 19544 25243 29316 34202 39088 50486 51303 58632 68404 75729 100972 102606 117264 136808 151458 176701 201944 205212 273616 302916 353402 403888 410424 530103 605832 706804 820848 1060206 1211664 1236907 1413608 2120412 2473814 2827216 3710721 4240824 4947628 7421442 8481648 8809807 9895256 14842884 17619614 19790512 26429421 29685768 35239228 52858842 59371536 61668649 70478456 105717684 123337298 140956912 185005947 211435368 246674596 370011894 422870736 431680543 493349192 740023788 863361086 986698384 1295041629 1480047576 1726722172 2590083258 2960095152 3453444344 5180166516 6906888688 10360333032 20720666064