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21046589960 = 2351125937333
BaseRepresentation
bin10011100110011110…
…010111101000001000
32000022202212112202212
4103212132113220020
5321100411334320
613400233244252
71343361030404
oct234636275010
960282775685
1021046589960
118a20284600
1240b4563688
131ca5478036
1410392c0104
15832aa19c5
hex4e6797a08

21046589960 has 96 divisors (see below), whose sum is σ = 52146060120. Its totient is φ = 7639357440.

The previous prime is 21046589957. The next prime is 21046590001. The reversal of 21046589960 is 6998564012.

It can be written as a sum of positive squares in 4 ways, for example, as 11118858916 + 9927731044 = 105446^2 + 99638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21046589899 and 21046589908.

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, 2866454 + ... + 2873786.

Almost surely, 221046589960 is an apocalyptic number.

21046589960 is a gapful number since it is divisible by the number (20) 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 21046589960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26073030060).

21046589960 is an abundant number, since it is smaller than the sum of its proper divisors (31099470160).

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

21046589960 is a wasteful number, since it uses less digits than its factorization.

21046589960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 21046589960 in words is "twenty-one billion, forty-six million, five hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 593 605 968 1186 1210 2372 2420 2965 4744 4840 5930 6523 7333 11860 13046 14666 23720 26092 29332 32615 36665 52184 58664 65230 71753 73330 80663 130460 143506 146660 161326 260920 287012 293320 322652 358765 403315 574024 645304 717530 806630 887293 1435060 1613260 1774586 2870120 3226520 3549172 4348469 4436465 7098344 8696938 8872930 17393876 17745860 21742345 34787752 35491720 43484690 47833159 86969380 95666318 173938760 191332636 239165795 382665272 478331590 526164749 956663180 1052329498 1913326360 2104658996 2630823745 4209317992 5261647490 10523294980 21046589960