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20475318556 = 227211372231151
BaseRepresentation
bin10011000100011011…
…001001000100011100
31221211221220221201201
4103010123021010130
5313413140143211
613223425045244
71323253223200
oct230433110434
957757827651
1020475318556
118757868980
123b75186824
131c13cca814
14dc3494b00
157ec85b0c1
hex4c46c911c

20475318556 has 144 divisors (see below), whose sum is σ = 46950285312. Its totient is φ = 7720272000.

The previous prime is 20475318553. The next prime is 20475318559. The reversal of 20475318556 is 65581357402.

It is an interprime number because it is at equal distance from previous prime (20475318553) and next prime (20475318559).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20475318553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17788581 + ... + 17789731.

It is an arithmetic number, because the mean of its divisors is an integer number (326043648).

Almost surely, 220475318556 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 20475318556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475142656).

20475318556 is an abundant number, since it is smaller than the sum of its proper divisors (26474966756).

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

20475318556 is a wasteful number, since it uses less digits than its factorization.

20475318556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 20475318556 in words is "twenty billion, four hundred seventy-five million, three hundred eighteen thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 148 154 196 223 259 308 407 446 518 539 814 892 1036 1078 1151 1561 1628 1813 2156 2302 2453 2849 3122 3626 4604 4906 5698 6244 7252 8057 8251 9812 10927 11396 12661 16114 16502 17171 19943 21854 25322 32228 33004 34342 39886 42587 43708 50644 56399 57757 68684 79772 85174 88627 90761 112798 115514 120197 170348 177254 181522 225596 231028 240394 256673 298109 354508 363044 404299 468457 480788 513346 596218 620389 635327 808598 936914 1026692 1192436 1240778 1270654 1617196 1796711 1873828 2086763 2481556 2541308 2823403 3279199 3593422 4173526 4447289 5646806 6558398 7186844 8347052 8894578 9496901 11293612 12576977 13116796 17789156 18993802 19763821 22954393 25153954 37987604 39527642 45908786 50307908 66478307 79055284 91817572 104465911 132956614 138346747 208931822 265913228 276693494 417863644 465348149 553386988 731261377 930696298 1462522754 1861392596 2925045508 5118829639 10237659278 20475318556