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20388317544 = 2334716072797
BaseRepresentation
bin10010111111001111…
…010000100101101000
31221121220012211210000
4102333033100211220
5313223402130134
613211040223000
71321145561010
oct227717204550
957556184700
1020388317544
118712745811
123b5000aa60
131bcbc8892a
14db5ac8c40
157e4dc2e99
hex4bf3d0968

20388317544 has 160 divisors (see below), whose sum is σ = 65328151680. Its totient is φ = 5819527296.

The previous prime is 20388317539. The next prime is 20388317567. The reversal of 20388317544 is 44571388302.

20388317544 is a `hidden beast` number, since 20 + 3 + 8 + 83 + 1 + 7 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20388317544.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7287954 + ... + 7290750.

It is an arithmetic number, because the mean of its divisors is an integer number (408300948).

Almost surely, 220388317544 is an apocalyptic number.

20388317544 is a gapful number since it is divisible by the number (24) 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 20388317544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664075840).

20388317544 is an abundant number, since it is smaller than the sum of its proper divisors (44939834136).

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

20388317544 is a wasteful number, since it uses less digits than its factorization.

20388317544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20388317544 in words is "twenty billion, three hundred eighty-eight million, three hundred seventeen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 1607 2268 2797 3214 4536 4821 5594 6428 8391 9642 11188 11249 12856 14463 16782 19284 19579 22376 22498 25173 28926 33564 33747 38568 39158 43389 44996 50346 57852 58737 67128 67494 75519 78316 86778 89992 100692 101241 115704 117474 130167 134988 151038 156632 173556 176211 201384 202482 226557 234948 260334 269976 302076 303723 347112 352422 404964 453114 469896 520668 528633 604152 607446 704844 809928 906228 911169 1041336 1057266 1214892 1409688 1585899 1812456 1822338 2114532 2429784 3171798 3644676 4229064 4494779 6343596 7289352 8989558 12687192 13484337 17979116 26968674 31463453 35958232 40453011 53937348 62926906 80906022 94390359 107874696 121359033 125853812 161812044 188780718 242718066 251707624 283171077 323624088 364077099 377561436 485436132 566342154 728154198 755122872 849513231 970872264 1132684308 1456308396 1699026462 2265368616 2548539693 2912616792 3398052924 5097079386 6796105848 10194158772 20388317544