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1684872014154 = 237231210755733
BaseRepresentation
bin11000100001001010001…
…100101010100101001010
312222001221121221111221220
4120201022030222211022
5210101104213423104
63330004114342510
7232504461551400
oct30411214524512
95861847844856
101684872014154
1159a60636694a
1223265828aa36
13c2b62527964
145b79652d470
152dc626777d9
hex1884a32a94a

1684872014154 has 144 divisors (see below), whose sum is σ = 4088361773664. Its totient is φ = 461501087040.

The previous prime is 1684872014117. The next prime is 1684872014207. The reversal of 1684872014154 is 4514102784861.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1684872014097 and 1684872014106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30203272 + ... + 30259004.

It is an arithmetic number, because the mean of its divisors is an integer number (28391401206).

Almost surely, 21684872014154 is an apocalyptic number.

1684872014154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684872014154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044180886832).

1684872014154 is an abundant number, since it is smaller than the sum of its proper divisors (2403489759510).

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

1684872014154 is a wasteful number, since it uses less digits than its factorization.

1684872014154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55921 (or 55883 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 1684872014154 in words is "one trillion, six hundred eighty-four billion, eight hundred seventy-two million, fourteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 107 147 186 214 217 294 321 434 642 651 749 961 1302 1498 1519 1922 2247 2883 3038 3317 4494 4557 5243 5766 6634 6727 9114 9951 10486 13454 15729 19902 20181 23219 31458 40362 46438 47089 55733 69657 94178 102827 111466 139314 141267 162533 167199 205654 282534 308481 325066 334398 390131 487599 616962 719789 780262 975198 1170393 1439578 1727723 2159367 2340786 2730917 3455446 4318734 5038523 5183169 5461834 5963431 8192751 10077046 10366338 11926862 12094061 15115569 16385502 17890293 24188122 30231138 35780586 36282183 41744017 53559413 72564366 83488034 84658427 107118826 125232051 160678239 169316854 184866361 250464102 253975281 292208119 321356478 369732722 374915891 507950562 554599083 584416238 749831782 876624357 1109198166 1124747673 1294064527 1753248714 2249495346 2588129054 2624411237 3882193581 5248822474 5730857191 7764387162 7873233711 9058451689 11461714382 15746467422 17192571573 18116903378 27175355067 34385143146 40116000337 54350710134 80232000674 120348001011 240696002022 280812002359 561624004718 842436007077 1684872014154