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466150428023120 = 24534031171222719
BaseRepresentation
bin110100111111101100001101…
…0101011001001100101010000
32021010111112201211001112012222
41221333120122223021211100
5442044402034033214440
64331230314511040212
7200121154106451311
oct15177303253114520
92233445654045188
10466150428023120
11125591317114415
12443470ab210068
1317014a485abca9
148317b302dc608
1538d59980e52b5
hex1a7f61aac9950

466150428023120 has 40 divisors (see below), whose sum is σ = 1083831598909440. Its totient is φ = 186454690993280.

The previous prime is 466150428023051. The next prime is 466150428023123. The reversal of 466150428023120 is 21320824051664.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4661504280231202 (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 (466150428023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82888880 + ... + 88333839.

It is an arithmetic number, because the mean of its divisors is an integer number (27095789972736).

Almost surely, 2466150428023120 is an apocalyptic number.

466150428023120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466150428023120 is an abundant number, since it is smaller than the sum of its proper divisors (617681170886320).

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

466150428023120 is a wasteful number, since it uses less digits than its factorization.

466150428023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171256763 (or 171256757 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 466150428023120 in words is "four hundred sixty-six trillion, one hundred fifty billion, four hundred twenty-eight million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 34031 68062 136124 170155 272248 340310 544496 680620 1361240 2722480 171222719 342445438 684890876 856113595 1369781752 1712227190 2739563504 3424454380 6848908760 13697817520 5826880350289 11653760700578 23307521401156 29134401751445 46615042802312 58268803502890 93230085604624 116537607005780 233075214011560 466150428023120