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16082973396 = 22327193978461
BaseRepresentation
bin11101111101001111…
…01011001011010100
31112111211221200220100
432332213223023110
5230414220122041
611215521534100
71106360006160
oct167647531324
945454850810
1016082973396
116903467a56
12314a1a4330
131694017b09
14ac7dadca0
15641e356b6
hex3be9eb2d4

16082973396 has 144 divisors (see below), whose sum is σ = 49036274560. Its totient is φ = 4341807360.

The previous prime is 16082973373. The next prime is 16082973407. The reversal of 16082973396 is 69337928061.

16082973396 is a `hidden beast` number, since 1 + 608 + 29 + 7 + 3 + 3 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1896606 + ... + 1905066.

Almost surely, 216082973396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16082973396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518137280).

16082973396 is an abundant number, since it is smaller than the sum of its proper divisors (32953301164).

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

16082973396 is a wasteful number, since it uses less digits than its factorization.

16082973396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16082973396 in words is "sixteen billion, eighty-two million, nine hundred seventy-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 397 399 532 684 794 798 1191 1197 1588 1596 2382 2394 2779 3573 4764 4788 5558 7146 7543 8337 8461 11116 14292 15086 16674 16922 22629 25011 25383 30172 33348 33844 45258 50022 50766 52801 59227 67887 76149 90516 100044 101532 105602 118454 135774 152298 158403 160759 177681 211204 236908 271548 304596 316806 321518 355362 475209 482277 533043 633612 643036 710724 950418 964554 1066086 1125313 1446831 1900836 1929108 2132172 2250626 2893662 3359017 3375939 4501252 5787324 6718034 6751878 10077051 10127817 13436068 13503756 20154102 20255634 23513119 30231153 40308204 40511268 47026238 60462306 63821323 70539357 94052476 120924612 127642646 141078714 191463969 211618071 255285292 282157428 382927938 423236142 446749261 574391907 765855876 846472284 893498522 1148783814 1340247783 1786997044 2297567628 2680495566 4020743349 5360991132 8041486698 16082973396