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20203471440 = 2433527733767
BaseRepresentation
bin10010110100001110…
…001000001001010000
31221011000101200121000
4102310032020021100
5312334042041230
613140434302000
71313442450045
oct226416101120
957130350530
1020203471440
118628373139
123aba127900
131b9c8a9039
14d9932d1cc
157d3a5db60
hex4b4388250

20203471440 has 160 divisors (see below), whose sum is σ = 69843029760. Its totient is φ = 5367983616.

The previous prime is 20203471427. The next prime is 20203471481. The reversal of 20203471440 is 4417430202.

It is a super-4 number, since 4×202034714404 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581437 + ... + 615203.

It is an arithmetic number, because the mean of its divisors is an integer number (436518936).

Almost surely, 220203471440 is an apocalyptic number.

20203471440 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 20203471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34921514880).

20203471440 is an abundant number, since it is smaller than the sum of its proper divisors (49639558320).

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

20203471440 is a wasteful number, since it uses less digits than its factorization.

20203471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34066 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20203471440 in words is "twenty billion, two hundred three million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 277 360 432 540 554 720 831 1080 1108 1385 1662 2160 2216 2493 2770 3324 4155 4432 4986 5540 6648 7479 8310 9972 11080 12465 13296 14958 16620 19944 22160 24930 29916 33240 33767 37395 39888 49860 59832 66480 67534 74790 99720 101301 119664 135068 149580 168835 199440 202602 270136 299160 303903 337670 405204 506505 540272 598320 607806 675340 810408 911709 1013010 1215612 1350680 1519515 1620816 1823418 2026020 2431224 2701360 3039030 3646836 4052040 4558545 4862448 6078060 7293672 8104080 9117090 9353459 12156120 14587344 18234180 18706918 24312240 28060377 36468360 37413836 46767295 56120754 72936720 74827672 84181131 93534590 112241508 140301885 149655344 168362262 187069180 224483016 252543393 280603770 336724524 374138360 420905655 448966032 505086786 561207540 673449048 748276720 841811310 1010173572 1122415080 1262716965 1346898096 1683622620 2020347144 2244830160 2525433930 3367245240 4040694288 5050867860 6734490480 10101735720 20203471440