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164011250523032 = 231123233983346321
BaseRepresentation
bin100101010010101011011000…
…010100111001101110011000
3210111201022201001020112102022
4211102223120110321232120
5132444130020113214112
61340453421152554012
746355264453150603
oct4522533024715630
9714638631215368
10164011250523032
1148293865179370
121648a58bb52908
13706926b5b0c83
142c70288b2d33a
1513e6497da5d72
hex952ad8539b98

164011250523032 has 64 divisors (see below), whose sum is σ = 350066045583360. Its totient is φ = 71308728691200.

The previous prime is 164011250523011. The next prime is 164011250523053. The reversal of 164011250523032 is 230325052110461.

164011250523032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164011250523011) and next prime (164011250523053).

It is a junction number, because it is equal to n+sod(n) for n = 164011250522983 and 164011250523001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473408432 + ... + 473754752.

It is an arithmetic number, because the mean of its divisors is an integer number (5469781962240).

Almost surely, 2164011250523032 is an apocalyptic number.

It is an amenable number.

164011250523032 is an abundant number, since it is smaller than the sum of its proper divisors (186054795060328).

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

164011250523032 is a wasteful number, since it uses less digits than its factorization.

164011250523032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580344 (or 580340 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 164011250523032 in words is "one hundred sixty-four trillion, eleven billion, two hundred fifty million, five hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 233983 346321 467966 692642 935932 1385284 1871864 2573813 2770568 3809531 5147626 5381609 7619062 7965383 10295252 10763218 15238124 15930766 20590504 21526436 30476248 31861532 43052872 59197699 63723064 87619213 118395398 175238426 236790796 350476852 473581592 700953704 81033226543 162066453086 324132906172 648265812344 891365491973 1782730983946 1863764210489 3565461967892 3727528420978 7130923935784 7455056841956 14910113683912 20501406315379 41002812630758 82005625261516 164011250523032