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20660267088 = 24321933731993
BaseRepresentation
bin10011001111011100…
…101010100001010000
31222022211221022102100
4103033130222201100
5314303012021323
613254033120400
71330660241556
oct231734524120
958284838370
1020660267088
1188422004aa
1240070b9100
131c43414c16
14dddc79bd6
1580dbe0943
hex4cf72a850

20660267088 has 120 divisors (see below), whose sum is σ = 58304695592. Its totient is φ = 6829277184.

The previous prime is 20660267021. The next prime is 20660267107. The reversal of 20660267088 is 88076206602.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3128388624 + 17531878464 = 55932^2 + 132408^2 .

It is a super-2 number, since 2×206602670882 (a number of 21 digits) contains 22 as substring.

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, 10365420 + ... + 10367412.

Almost surely, 220660267088 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 20660267088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29152347796).

20660267088 is an abundant number, since it is smaller than the sum of its proper divisors (37644428504).

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

20660267088 is a wasteful number, since it uses less digits than its factorization.

20660267088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20660267088 in words is "twenty billion, six hundred sixty million, two hundred sixty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 373 386 579 746 772 1119 1158 1492 1544 1737 1993 2238 2316 2984 3088 3357 3474 3986 4476 4632 5968 5979 6714 6948 7972 8952 9264 11958 13428 13896 15944 17904 17937 23916 26856 27792 31888 35874 47832 53712 71748 71989 95664 143496 143978 215967 286992 287956 384649 431934 575912 647901 743389 769298 863868 1151824 1153947 1295802 1486778 1538596 1727736 2230167 2307894 2591604 2973556 3077192 3455472 3461841 4460334 4615788 5183208 5947112 6154384 6690501 6923682 8920668 9231576 10366416 11894224 13381002 13847364 17841336 18463152 26762004 27694728 35682672 53524008 55389456 107048016 143474077 286948154 430422231 573896308 860844462 1147792616 1291266693 1721688924 2295585232 2582533386 3443377848 5165066772 6886755696 10330133544 20660267088