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1687222406896 = 2413231231286499
BaseRepresentation
bin11000100011010110010…
…010101100111011110000
312222022000102121211122221
4120203112102230323300
5210120412414010041
63331033235410424
7232616641554355
oct30432622547360
95868012554587
101687222406896
115a0602076794
12232bb3453a14
13c3148464bb0
145b93a75862c
152dd4dba02d1
hex188d64acef0

1687222406896 has 80 divisors (see below), whose sum is σ = 3676514688000. Its totient is φ = 744253044480.

The previous prime is 1687222406879. The next prime is 1687222406923. The reversal of 1687222406896 is 6986042227861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5745855 + ... + 6032353.

It is an arithmetic number, because the mean of its divisors is an integer number (45956433600).

Almost surely, 21687222406896 is an apocalyptic number.

1687222406896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687222406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838257344000).

1687222406896 is an abundant number, since it is smaller than the sum of its proper divisors (1989292281104).

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

1687222406896 is a wasteful number, since it uses less digits than its factorization.

1687222406896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287774 (or 287768 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 1687222406896 in words is "one trillion, six hundred eighty-seven billion, two hundred twenty-two million, four hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1231 2392 2462 4784 4924 9848 16003 19696 28313 32006 56626 64012 113252 128024 226504 256048 286499 368069 453008 572998 736138 1145996 1472276 2291992 2944552 3724487 4583984 5889104 6589477 7448974 13178954 14897948 26357908 29795896 52715816 59591792 85663201 105431632 171326402 342652804 352680269 685305608 705360538 1370611216 1410721076 2821442152 4584843497 5642884304 8111646187 9169686994 16223292374 18339373988 32446584748 36678747976 64893169496 73357495952 105451400431 129786338992 210902800862 421805601724 843611203448 1687222406896