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427504970196 = 2232173597392633
BaseRepresentation
bin1100011100010010100…
…10000010100111010100
31111212110120000121220200
412032021102002213110
524001012233021241
6524220523100500
742612654201333
oct6161122024724
91455416017820
10427504970196
11155338457627
126aa2a671730
133140cb24335
14169970d1d1a
15b1c14794b6
hex63894829d4

427504970196 has 144 divisors (see below), whose sum is σ = 1149380668800. Its totient is φ = 133513906176.

The previous prime is 427504970183. The next prime is 427504970203. The reversal of 427504970196 is 691079405724.

427504970196 is a `hidden beast` number, since 42 + 7 + 504 + 9 + 7 + 0 + 1 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162362896 + ... + 162365528.

It is an arithmetic number, because the mean of its divisors is an integer number (7981810200).

Almost surely, 2427504970196 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 427504970196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574690334400).

427504970196 is an abundant number, since it is smaller than the sum of its proper divisors (721875698604).

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

427504970196 is a wasteful number, since it uses less digits than its factorization.

427504970196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 427504970196 in words is "four hundred twenty-seven billion, five hundred four million, nine hundred seventy thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 359 612 718 739 1077 1436 1478 2154 2217 2633 2956 3231 4308 4434 5266 6103 6462 6651 7899 8868 10532 12206 12563 12924 13302 15798 18309 23697 24412 25126 26604 31596 36618 37689 44761 47394 50252 54927 73236 75378 89522 94788 109854 113067 134283 150756 179044 219708 226134 265301 268566 402849 452268 530602 537132 795903 805698 945247 1061204 1591806 1611396 1890494 1945787 2387709 2835741 3183612 3780988 3891574 4510117 4775418 5671482 5837361 7783148 8507223 9020234 9550836 11342964 11674722 13530351 16069199 17014446 17512083 18040468 23349444 27060702 32138398 33078379 34028892 35024166 40591053 48207597 54121404 64276796 66156758 70048332 81182106 96415194 99235137 132313516 144622791 162364212 192830388 198470274 289245582 297705411 396940548 578491164 595410822 698537533 1190821644 1397075066 2095612599 2794150132 4191225198 6286837797 8382450396 11875138061 12573675594 23750276122 25147351188 35625414183 47500552244 71250828366 106876242549 142501656732 213752485098 427504970196