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28164073938 = 23711134879629
BaseRepresentation
bin11010001110101101…
…011010100111010010
32200200210200012021120
4122032231122213102
5430140000331223
620534405503110
72014634451510
oct321655324722
980623605246
1028164073938
1110a42981670
125560111a96
13286ac06910
14151269d4b0
15aec875be3
hex68eb5a9d2

28164073938 has 128 divisors (see below), whose sum is σ = 75792568320. Its totient is φ = 6738059520.

The previous prime is 28164073907. The next prime is 28164073967. The reversal of 28164073938 is 83937046182.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 2920108 + ... + 2929736.

It is an arithmetic number, because the mean of its divisors is an integer number (592129440).

Almost surely, 228164073938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28164073938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37896284160).

28164073938 is an abundant number, since it is smaller than the sum of its proper divisors (47628494382).

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

28164073938 is a wasteful number, since it uses less digits than its factorization.

28164073938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152.

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 28164073938 in words is "twenty-eight billion, one hundred sixty-four million, seventy-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 487 546 858 974 1001 1461 2002 2922 3003 3409 5357 6006 6331 6818 9629 10227 10714 12662 16071 18993 19258 20454 28887 32142 37499 37986 44317 57774 67403 69641 74998 88634 105919 112497 125177 132951 134806 139282 202209 208923 211838 224994 250354 265902 317757 375531 404418 417846 487487 635514 741433 751062 876239 974974 1376947 1462461 1482866 1752478 2224299 2628717 2753894 2924922 4130841 4448598 4689323 5257434 8261682 9378646 9638629 14067969 19277258 28135938 28915887 32825261 51582553 57831774 60961199 65650522 98475783 103165106 121922398 154747659 182883597 196951566 309495318 361077871 365767194 426728393 670573189 722155742 853456786 1083233613 1280185179 1341146378 2011719567 2166467226 2560370358 4023439134 4694012323 9388024646 14082036969 28164073938