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20632849048 = 2372971633329
BaseRepresentation
bin10011001101110100…
…000100101010011000
31222020221100022221101
4103031310010222120
5314224002132143
613251213321144
71330205215600
oct231564045230
958227308841
1020632849048
118828783969
123bb9a961b4
131c3a835226
14dda37dc00
1580b5c6b4d
hex4cdd04a98

20632849048 has 96 divisors (see below), whose sum is σ = 45759394800. Its totient is φ = 8695185408.

The previous prime is 20632849031. The next prime is 20632849093. The reversal of 20632849048 is 84094823602.

It is a junction number, because it is equal to n+sod(n) for n = 20632848989 and 20632849007.

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, 6196248 + ... + 6199576.

Almost surely, 220632849048 is an apocalyptic number.

20632849048 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 20632849048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879697400).

20632849048 is an abundant number, since it is smaller than the sum of its proper divisors (25126545752).

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

20632849048 is a wasteful number, since it uses less digits than its factorization.

20632849048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 20632849048 in words is "twenty billion, six hundred thirty-two million, eight hundred forty-nine thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 163 194 196 326 388 392 652 679 776 1141 1304 1358 2282 2716 3329 4564 4753 5432 6658 7987 9128 9506 13316 15811 15974 19012 23303 26632 31622 31948 38024 46606 63244 63896 93212 110677 126488 163121 186424 221354 322913 326242 442708 542627 645826 652484 774739 885416 1085254 1291652 1304968 1549478 2170508 2260391 2583304 3098956 3798389 4341016 4520782 6197912 7596778 9041564 15193556 15822737 18083128 26588723 30387112 31645474 52634819 53177446 63290948 105269638 106354892 126581896 210539276 212709784 368443733 421078552 736887466 1473774932 2579106131 2947549864 5158212262 10316424524 20632849048