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468022789689012 = 223229448297691273
BaseRepresentation
bin110101001101010100000110…
…0001000000100111010110100
32021101010112121220212012010100
41222122220030020010322310
5442321041133130022022
64335222411255354100
7200403350013146325
oct15232501410047264
92241115556765110
10468022789689012
111261433944a5668
12445a9b51382930
131711c48a324c7c
1483805d120444c
1539195307621ac
hex1a9aa0c204eb4

468022789689012 has 36 divisors (see below), whose sum is σ = 1223852697178020. Its totient is φ = 150628024267392.

The previous prime is 468022789689011. The next prime is 468022789689031. The reversal of 468022789689012 is 210986987220864.

468022789689012 is a `hidden beast` number, since 468 + 0 + 2 + 2 + 7 + 8 + 9 + 68 + 90 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319018678876836 + 149004110812176 = 17861094^2 + 12206724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4680227896890122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468022789689011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224148844593 + ... + 224148846680.

It is an arithmetic number, because the mean of its divisors is an integer number (33995908254945).

Almost surely, 2468022789689012 is an apocalyptic number.

It is an amenable number.

468022789689012 is an abundant number, since it is smaller than the sum of its proper divisors (755829907489008).

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

468022789689012 is a wasteful number, since it uses less digits than its factorization.

468022789689012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448297691312 (or 448297691307 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 468022789689012 in words is "four hundred sixty-eight trillion, twenty-two billion, seven hundred eighty-nine million, six hundred eighty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 448297691273 896595382546 1344893073819 1793190765092 2689786147638 4034679221457 5379572295276 8069358442914 13000633046917 16138716885828 26001266093834 39001899140751 52002532187668 78003798281502 117005697422253 156007596563004 234011394844506 468022789689012