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1679923120005 = 345134311096691
BaseRepresentation
bin11000011100100011001…
…110001000011110000101
312221121011201201122110000
4120130203032020132011
5210010440304320010
63323425050351513
7232241026625514
oct30344316103605
95847151648400
101679923120005
115984a6895489
122316b6a2b599
13c2554150920
145b44717267b
152da72e687c0
hex18723388785

1679923120005 has 160 divisors (see below), whose sum is σ = 3321974113920. Its totient is φ = 806956577280.

The previous prime is 1679923119991. The next prime is 1679923120049. The reversal of 1679923120005 is 5000213299761.

It is a happy number.

It is not a de Polignac number, because 1679923120005 - 24 = 1679923119989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 251068710 + ... + 251075400.

It is an arithmetic number, because the mean of its divisors is an integer number (20762338212).

Almost surely, 21679923120005 is an apocalyptic number.

1679923120005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1679923120005 is a deficient number, since it is larger than the sum of its proper divisors (1642050993915).

1679923120005 is a wasteful number, since it uses less digits than its factorization.

1679923120005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1679923120005 in words is "one trillion, six hundred seventy-nine billion, nine hundred twenty-three million, one hundred twenty thousand, five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 81 117 129 135 195 215 351 387 405 559 585 645 1053 1109 1161 1677 1755 1935 2795 3327 3483 5031 5265 5545 5805 6691 8385 9981 14417 15093 16635 17415 20073 25155 29943 33455 43251 45279 47687 49905 60219 72085 75465 86983 89829 100365 129753 143061 149715 180657 216255 226395 238435 260949 287713 301095 389259 429183 434915 449145 541971 619931 648765 715305 782847 863139 903285 1167777 1287549 1304745 1438565 1859793 1946295 2145915 2348541 2589417 2709855 3099655 3740269 3862647 3914235 4315695 5579379 5838885 6437745 7045623 7420319 7768251 9298965 11220807 11742705 12947085 16738137 18701345 19313235 22260957 23304753 27896895 33662421 35228115 37101595 38841255 50214411 56104035 66782871 83690685 96464147 100987263 111304785 116523765 168312105 200348613 251072055 289392441 302961789 319073717 333914355 482320735 504936315 601045839 868177323 957221151 1001743065 1446962205 1514808945 1595368585 2604531969 2871663453 3005229195 4147958321 4340886615 4786105755 7813595907 8614990359 12443874963 13022659845 14358317265 20739791605 25844971077 37331624889 39067979535 43074951795 62219374815 111994874667 129224855385 186658124445 335984624001 559974373335 1679923120005