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20187047552 = 277295991297
BaseRepresentation
bin10010110011001111…
…011110011010000000
31221002212111021020212
4102303033132122000
5312320341010202
613135050253252
71313153034020
oct226317363200
957085437225
1020187047552
11861a075681
123ab4727228
131b99378569
14d97095a80
157d23b7652
hex4b33de680

20187047552 has 128 divisors (see below), whose sum is σ = 47662560000. Its totient is φ = 8332886016.

The previous prime is 20187047527. The next prime is 20187047563. The reversal of 20187047552 is 25574078102.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 15563768 + ... + 15565064.

It is an arithmetic number, because the mean of its divisors is an integer number (372363750).

Almost surely, 220187047552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20187047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831280000).

20187047552 is an abundant number, since it is smaller than the sum of its proper divisors (27475512448).

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

20187047552 is a wasteful number, since it uses less digits than its factorization.

20187047552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The spelling of 20187047552 in words is "twenty billion, one hundred eighty-seven million, forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 599 812 896 928 1198 1297 1624 1856 2396 2594 3248 3712 4193 4792 5188 6496 8386 9079 9584 10376 12992 16772 17371 18158 19168 20752 25984 33544 34742 36316 37613 38336 41504 67088 69484 72632 75226 76672 83008 121597 134176 138968 145264 150452 166016 243194 263291 268352 277936 290528 300904 486388 526582 536704 555872 581056 601808 776903 972776 1053164 1111744 1162112 1203616 1553806 1945552 2106328 2223488 2407232 3107612 3891104 4212656 4814464 5438321 6215224 7782208 8425312 10876642 12430448 15564416 16850624 21753284 22530187 24860896 33701248 43506568 45060374 49721792 87013136 90120748 99443584 157711309 174026272 180241496 315422618 348052544 360482992 630845236 696105088 720965984 1261690472 1441931968 2523380944 2883863936 5046761888 10093523776 20187047552