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20627606688 = 2531346735393
BaseRepresentation
bin10011001101100000…
…000100110010100000
31222020120110222202220
4103031200010302200
5314221131403223
613250505111040
71330112523003
oct231540046240
958216428686
1020627606688
118825823237
123bb8188480
131c3971b040
14dd97b753a
1580addd6e3
hex4cd804ca0

20627606688 has 96 divisors (see below), whose sum is σ = 58439174976. Its totient is φ = 6333186048.

The previous prime is 20627606687. The next prime is 20627606711. The reversal of 20627606688 is 88660672602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20627606688.

It is not an unprimeable number, because it can be changed into a prime (20627606687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565120 + ... + 600512.

It is an arithmetic number, because the mean of its divisors is an integer number (608741406).

Almost surely, 220627606688 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 20627606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29219587488).

20627606688 is an abundant number, since it is smaller than the sum of its proper divisors (37811568288).

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

20627606688 is a wasteful number, since it uses less digits than its factorization.

20627606688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35886 (or 35878 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 20627606688 in words is "twenty billion, six hundred twenty-seven million, six hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 467 624 934 1248 1401 1868 2802 3736 5604 6071 7472 11208 12142 14944 18213 22416 24284 35393 36426 44832 48568 70786 72852 97136 106179 141572 145704 194272 212358 283144 291408 424716 460109 566288 582816 849432 920218 1132576 1380327 1698864 1840436 2760654 3397728 3680872 5521308 7361744 11042616 14723488 16528531 22085232 33057062 44170464 49585593 66114124 99171186 132228248 198342372 214870903 264456496 396684744 429741806 528912992 644612709 793369488 859483612 1289225418 1586738976 1718967224 2578450836 3437934448 5156901672 6875868896 10313803344 20627606688