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1380679430670 = 234589166711489
BaseRepresentation
bin10100000101110110111…
…010000011001000001110
311212222202220221011220000
4110011312322003020032
5140110112413240140
62534135251505130
7201515344344411
oct24056672031016
94788686834800
101380679430670
114925a75a9621
121a37028b81a6
13a0274c19027
144ab7a665b78
1525dabda1a30
hex14176e8320e

1380679430670 has 160 divisors (see below), whose sum is σ = 3756786026400. Its totient is φ = 363794264064.

The previous prime is 1380679430629. The next prime is 1380679430687. The reversal of 1380679430670 is 760349760831.

1380679430670 is a `hidden beast` number, since 1 + 3 + 80 + 6 + 79 + 430 + 67 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120168286 + ... + 120179774.

It is an arithmetic number, because the mean of its divisors is an integer number (23479912665).

Almost surely, 21380679430670 is an apocalyptic number.

1380679430670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380679430670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878393013200).

1380679430670 is an abundant number, since it is smaller than the sum of its proper divisors (2376106595730).

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

1380679430670 is a wasteful number, since it uses less digits than its factorization.

1380679430670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13264 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1380679430670 in words is "one trillion, three hundred eighty billion, six hundred seventy-nine million, four hundred thirty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 1667 2403 2670 3334 4005 4806 5001 7209 8010 8335 10002 11489 12015 14418 15003 16670 22978 24030 25005 30006 34467 36045 45009 50010 57445 68934 72090 75015 90018 103401 114890 135027 148363 150030 172335 206802 225045 270054 296726 310203 344670 445089 450090 517005 620406 675135 741815 890178 930609 1022521 1034010 1335267 1350270 1483630 1551015 1861218 2045042 2225445 2670534 3067563 3102030 4005801 4450890 4653045 5112605 6135126 6676335 8011602 9202689 9306090 10225210 12017403 13352670 15337815 18405378 19152163 20029005 24034806 27608067 30675630 38304326 40058010 46013445 55216134 57456489 60087015 82824201 92026890 95760815 114912978 120174030 138040335 165648402 172369467 191521630 276080670 287282445 344738934 414121005 517108401 574564890 828242010 861847335 1034216802 1551325203 1704542507 1723694670 2585542005 3102650406 3409085014 5113627521 5171084010 7756626015 8522712535 10227255042 15340882563 15513252030 17045425070 25568137605 30681765126 46022647689 51136275210 76704412815 92045295378 138067943067 153408825630 230113238445 276135886134 460226476890 690339715335 1380679430670