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21610489488 = 24371712972917
BaseRepresentation
bin10100001000000101…
…011110011010010000
32001210001221121111120
4110020011132122100
5323224241130423
613532215442240
71363346062350
oct241005363220
961701847446
1021610489488
11918a615675
124231386380
132065243cb3
14109014ab60
1586733cee3
hex50815e690

21610489488 has 160 divisors (see below), whose sum is σ = 67630742784. Its totient is φ = 5804752896.

The previous prime is 21610489487. The next prime is 21610489493. The reversal of 21610489488 is 88498401612.

It is a super-5 number, since 5×216104894885 (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 21610489488.

It is not an unprimeable number, because it can be changed into a prime (21610489487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7407006 + ... + 7409922.

Almost surely, 221610489488 is an apocalyptic number.

21610489488 is a gapful number since it is divisible by the number (28) 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 21610489488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33815371392).

21610489488 is an abundant number, since it is smaller than the sum of its proper divisors (46020253296).

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

21610489488 is a wasteful number, since it uses less digits than its factorization.

21610489488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 21610489488 in words is "twenty-one billion, six hundred ten million, four hundred eighty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1297 1428 1904 2594 2856 2917 3891 5188 5712 5834 7782 8751 9079 10376 11668 15564 17502 18158 20419 20752 22049 23336 27237 31128 35004 36316 40838 44098 46672 49589 54474 61257 62256 66147 70008 72632 81676 88196 99178 108948 122514 132294 140016 145264 148767 154343 163352 176392 198356 217896 245028 264588 297534 308686 326704 347123 352784 396712 435792 463029 490056 529176 595068 617372 694246 793424 926058 980112 1041369 1058352 1190136 1234744 1388492 1852116 2082738 2380272 2469488 2776984 3704232 3783349 4165476 5553968 7408464 7566698 8330952 11350047 15133396 16661904 22700094 26483443 30266792 45400188 52966886 60533584 64316933 79450329 90800376 105933772 128633866 158900658 181600752 192950799 211867544 257267732 317801316 385901598 423735088 450218531 514535464 635602632 771803196 900437062 1029070928 1271205264 1350655593 1543606392 1800874124 2701311186 3087212784 3601748248 5402622372 7203496496 10805244744 21610489488