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1676999084319 = 341319481717401
BaseRepresentation
bin11000011001110100111…
…011110100100100011111
312221022121221122020120000
4120121310323310210133
5204433443231144234
63322222554225343
7232105413010236
oct30316473644437
95838557566500
101676999084319
1159723629a169
1223101b725253
13c21a94158b0
145b24aaa1b1d
152d9513cc899
hex18674ef491f

1676999084319 has 80 divisors (see below), whose sum is σ = 2840595283680. Its totient is φ = 977424537600.

The previous prime is 1676999084317. The next prime is 1676999084377. The reversal of 1676999084319 is 9134809996761.

It is a happy number.

1676999084319 is a `hidden beast` number, since 1 + 67 + 6 + 99 + 90 + 84 + 319 = 666.

It is not a de Polignac number, because 1676999084319 - 21 = 1676999084317 is a prime.

It is a super-2 number, since 2×16769990843192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676999084311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96365019 + ... + 96382419.

It is an arithmetic number, because the mean of its divisors is an integer number (35507441046).

Almost surely, 21676999084319 is an apocalyptic number.

1676999084319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1676999084319 is a deficient number, since it is larger than the sum of its proper divisors (1163596199361).

1676999084319 is a wasteful number, since it uses less digits than its factorization.

1676999084319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262 (or 22253 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 1676999084319 in words is "one trillion, six hundred seventy-six billion, nine hundred ninety-nine million, eighty-four thousand, three hundred nineteen".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2223 4817 6669 14451 17401 20007 43353 52203 62621 91523 130059 156609 187863 226213 274569 330619 390177 469827 563589 678639 823707 991857 1189799 1409481 1690767 2035917 2471121 2975571 3569397 4298047 5072301 6107751 7413363 8926713 10708191 12894141 18323253 26780139 32124573 38682423 83820617 96373719 116047269 251461851 348141807 754385553 1089668021 1592591723 2263156659 3269004063 4777775169 6789469977 9807012189 14333325507 20703692399 29421036567 42999976521 62111077197 88263109701 128999929563 186333231591 558999694773 1676999084319