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128246056164 = 223815433167
BaseRepresentation
bin111011101110000001…
…1111000010011100100
3110021000200120200000000
41313130003320103210
54100121442244124
6134525422021300
712160025330322
oct1673403702344
9407020520000
10128246056164
114a430612176
1220a31417830
13c12a6bba45
1462c8580d12
153508da66c9
hex1ddc0f84e4

128246056164 has 108 divisors (see below), whose sum is σ = 336953320704. Its totient is φ = 42707491056.

The previous prime is 128246056157. The next prime is 128246056187. The reversal of 128246056164 is 461650642821.

It is a happy number.

128246056164 is a `hidden beast` number, since 1 + 2 + 8 + 24 + 6 + 0 + 5 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 40492909 + ... + 40496075.

Almost surely, 2128246056164 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 128246056164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168476660352).

128246056164 is an abundant number, since it is smaller than the sum of its proper divisors (208707264540).

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

128246056164 is an equidigital number, since it uses as much as digits as its factorization.

128246056164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 128246056164 its reverse (461650642821), we get a palindrome (589896698985).

The spelling of 128246056164 in words is "one hundred twenty-eight billion, two hundred forty-six million, fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1543 2187 2916 3086 3167 4374 4629 6172 6334 6561 8748 9258 9501 12668 13122 13887 18516 19002 26244 27774 28503 38004 41661 55548 57006 83322 85509 114012 124983 166644 171018 249966 256527 342036 374949 499932 513054 749898 769581 1026108 1124847 1499796 1539162 2249694 2308743 3078324 3374541 4499388 4617486 4886681 6749082 6926229 9234972 9773362 10123623 13498164 13852458 14660043 19546724 20247246 20778687 27704916 29320086 40494492 41557374 43980129 58640172 83114748 87960258 131940387 175920516 263880774 395821161 527761548 791642322 1187463483 1583284644 2374926966 3562390449 4749853932 7124780898 10687171347 14249561796 21374342694 32061514041 42748685388 64123028082 128246056164