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20838832848 = 243371679409
BaseRepresentation
bin10011011010000101…
…110101101011010000
31222210021221101121000
4103122011311223100
5320134220122343
613323452302000
71335256104501
oct233205655320
958707841530
1020838832848
118923a83609
124056a71900
131c71406032
14101987cba8
1581e713ed3
hex4da175ad0

20838832848 has 80 divisors (see below), whose sum is σ = 60657724800. Its totient is φ = 6848432640.

The previous prime is 20838832841. The next prime is 20838832907. The reversal of 20838832848 is 84823883802.

It is a happy number.

It is a super-2 number, since 2×208388328482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20838832794 and 20838832803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20838832841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 309033 + ... + 370376.

It is an arithmetic number, because the mean of its divisors is an integer number (758221560).

Almost surely, 220838832848 is an apocalyptic number.

It is an amenable number.

20838832848 is an abundant number, since it is smaller than the sum of its proper divisors (39818891952).

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

20838832848 is a wasteful number, since it uses less digits than its factorization.

20838832848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679497 (or 679485 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 20838832848 in words is "twenty billion, eight hundred thirty-eight million, eight hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672 679409 1358818 2038227 2717636 4076454 5435272 6114681 8152908 10870544 12229362 16305816 18344043 24458724 32611632 36688086 48238039 48917448 73376172 96476078 97834896 144714117 146752344 192952156 289428234 293504688 385904312 434142351 578856468 771808624 868284702 1157712936 1302427053 1736569404 2315425872 2604854106 3473138808 5209708212 6946277616 10419416424 20838832848