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20004420630546 = 23311412775129599
BaseRepresentation
bin1001000110001101001000…
…11000101011100000010010
32121211101220110122210202000
410203012210120223200102
510110223023140134141
6110313523131334430
74133162122533402
oct443064430534022
977741813583660
1020004420630546
116412910a28210
1222b0ba7bb1416
13b215410bb161
144d230d3c6802
1524a562ee75b6
hex1231a462b812

20004420630546 has 128 divisors (see below), whose sum is σ = 49681852416000. Its totient is φ = 5913680400000.

The previous prime is 20004420630527. The next prime is 20004420630577. The reversal of 20004420630546 is 64503602440002.

20004420630546 is a `hidden beast` number, since 20 + 0 + 0 + 44 + 20 + 6 + 30 + 546 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20004420630546.

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 63 ways as a sum of consecutive naturals, for example, 675833055 + ... + 675862653.

It is an arithmetic number, because the mean of its divisors is an integer number (388139472000).

Almost surely, 220004420630546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004420630546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840926208000).

20004420630546 is an abundant number, since it is smaller than the sum of its proper divisors (29677431785454).

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

20004420630546 is a wasteful number, since it uses less digits than its factorization.

20004420630546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57413 (or 57407 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 20004420630546 in words is "twenty trillion, four billion, four hundred twenty million, six hundred thirty thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 4059 8118 12177 24354 27751 29599 55502 59198 83253 88797 166506 177594 249759 266391 305261 325589 499518 532782 610522 651178 749277 799173 915783 976767 1137791 1213559 1498554 1598346 1831566 1953534 2275582 2427118 2747349 2930301 3413373 3640677 5494698 5860602 6826746 7281354 8242047 8790903 10240119 10922031 12515701 13349149 16484094 17581806 20480238 21844062 25031402 26698298 30720357 32766093 37547103 40047447 61440714 65532186 75094206 80094894 112641309 120142341 225282618 240284682 337923927 360427023 675847854 720854046 821401849 1642803698 2464205547 4928411094 7392616641 9035420339 14785233282 18070840678 22177849923 27106261017 33677475809 44355699846 54212522034 67354951618 81318783051 101032427427 162637566102 202064854854 243956349153 303097282281 370452233899 487912698306 606194564562 740904467798 909291846843 1111356701697 1818583693686 2222713403394 3334070105091 6668140210182 10002210315273 20004420630546