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1681878614016 = 216313961543
BaseRepresentation
bin11000011110010111110…
…001110000000000000000
312221210020000100000221010
4120132113301300000000
5210023441411122031
63324351103400520
7232340343224316
oct30362761600000
95853200300833
101681878614016
1159930a6a4037
12231b618b3140
13c27a6314483
145b590b640b6
152db39989246
hex18797c70000

1681878614016 has 136 divisors (see below), whose sum is σ = 4517314829440. Its totient is φ = 556583878656.

The previous prime is 1681878613991. The next prime is 1681878614021. The reversal of 1681878614016 is 6104168781861.

It is a super-2 number, since 2×16818786140162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27297741 + ... + 27359283.

Almost surely, 21681878614016 is an apocalyptic number.

1681878614016 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 1681878614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258657414720).

1681878614016 is an abundant number, since it is smaller than the sum of its proper divisors (2835436215424).

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

1681878614016 is an frugal number, since it uses more digits than its factorization.

1681878614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61717 (or 61687 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 1681878614016 in words is "one trillion, six hundred eighty-one billion, eight hundred seventy-eight million, six hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 4096 4448 6144 6672 8192 8896 12288 13344 16384 17792 24576 26688 32768 35584 49152 53376 61543 65536 71168 98304 106752 123086 142336 184629 196608 213504 246172 284672 369258 427008 492344 569344 738516 854016 984688 1138688 1477032 1708032 1969376 2277376 2954064 3416064 3938752 4554752 5908128 6832128 7877504 8554477 9109504 11816256 13664256 15755008 17108954 23632512 25663431 27328512 31510016 34217908 47265024 51326862 63020032 68435816 94530048 102653724 126040064 136871632 189060096 205307448 252080128 273743264 378120192 410614896 504160256 547486528 756240384 821229792 1008320512 1094973056 1512480768 1642459584 2016641024 2189946112 3024961536 3284919168 4033282048 4379892224 6049923072 6569838336 8759784448 12099846144 13139676672 17519568896 26279353344 35039137792 52558706688 70078275584 105117413376 140156551168 210234826752 280313102336 420469653504 560626204672 840939307008 1681878614016