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163442248011 = 34717311493671
BaseRepresentation
bin1001100000110111101…
…0101100100101001011
3120121212120102110120000
42120031322230211023
510134212203414021
6203030114334043
714544152120460
oct2301572544513
9517776373500
10163442248011
1163351985029
122781458a323
1312549465573
147ca6b5b667
1543b8c8cb26
hex260deac94b

163442248011 has 160 divisors (see below), whose sum is σ = 307108454400. Its totient is φ = 84472243200.

The previous prime is 163442248009. The next prime is 163442248027. The reversal of 163442248011 is 110842244361.

163442248011 is a `hidden beast` number, since 1 + 6 + 344 + 224 + 80 + 11 = 666.

163442248011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 163442248011 - 21 = 163442248009 is a prime.

It is a super-2 number, since 2×1634422480112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163442248051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44520706 + ... + 44524376.

It is an arithmetic number, because the mean of its divisors is an integer number (1919427840).

Almost surely, 2163442248011 is an apocalyptic number.

163442248011 is a deficient number, since it is larger than the sum of its proper divisors (143666206389).

163442248011 is a wasteful number, since it uses less digits than its factorization.

163442248011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 163442248011 in words is "one hundred sixty-three billion, four hundred forty-two million, two hundred forty-eight thousand, eleven".

Divisors: 1 3 7 9 17 21 27 31 51 63 81 93 119 149 153 189 217 279 357 447 459 527 567 651 837 1043 1071 1341 1377 1581 1953 2511 2533 3129 3213 3671 3689 4023 4619 4743 5859 7599 9387 9639 11013 11067 12069 13857 14229 17577 17731 22797 25697 28161 32333 33039 33201 41571 42687 53193 62407 68391 77091 78523 84483 96999 99117 99603 113801 124713 159579 187221 205173 231273 235569 290997 297351 298809 341403 374139 436849 478737 546979 549661 561663 693819 706707 796607 872991 1024209 1310547 1436211 1640937 1648983 1684989 1934617 2081457 2120121 2389821 2618973 3072627 3828853 3931641 4922811 4946949 5054967 5803851 6360363 7169463 9217881 9298643 11486559 11794923 13542319 14768433 14840847 16956349 17411553 21508389 27895929 34459677 35384769 40626957 44305299 44522541 50869047 52234659 64525167 65090501 83687787 103379031 118694443 121880871 152607141 156703977 195271503 251063361 288257933 310137093 356083329 365642613 457821423 585814509 753190083 864773799 1068249987 1096927839 1373464269 1757443527 2017805531 2594321397 3204749961 5272330581 6053416593 7782964191 9614249883 18160249779 23348892573 54480749337 163442248011