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164078281268 = 2211172371134327
BaseRepresentation
bin1001100011001111010…
…0111110001000110100
3120200111220020022011022
42120303310332020310
510142013020000033
6203213155000312
714566004244026
oct2306364761064
9520456208138
10164078281268
1163648a04250
1227971599098
131261b1692c5
147d27404016
154404a27098
hex2633d3e234

164078281268 has 96 divisors (see below), whose sum is σ = 350963601408. Its totient is φ = 66195852800.

The previous prime is 164078281261. The next prime is 164078281271. The reversal of 164078281268 is 862182870461.

164078281268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164078281261) 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 31 ways as a sum of consecutive naturals, for example, 1154321 + ... + 1288647.

It is an arithmetic number, because the mean of its divisors is an integer number (3655870848).

Almost surely, 2164078281268 is an apocalyptic number.

It is an amenable number.

164078281268 is an abundant number, since it is smaller than the sum of its proper divisors (186885320140).

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

164078281268 is a wasteful number, since it uses less digits than its factorization.

164078281268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134453 (or 134451 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 164078281268 in words is "one hundred sixty-four billion, seventy-eight million, two hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 71 92 142 187 253 284 374 391 506 748 781 782 1012 1207 1562 1564 1633 2414 3124 3266 4301 4828 6532 8602 13277 17204 17963 26554 27761 35926 53108 55522 71852 111044 134327 268654 305371 537308 610742 1221484 1477597 2283559 2955194 3089521 4567118 5910388 6179042 9134236 9537217 12358084 19074434 25119149 33984731 38148868 50238298 52521857 67969462 100476596 104909387 105043714 135938924 162132689 209818774 210087428 219355991 324265378 419637548 438711982 577740427 648530756 877423964 1155480854 1783459579 2310961708 2412915901 3566919158 3729051847 4825831802 7133838316 7458103694 9651663604 14916207388 41019570317 82039140634 164078281268