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1680117202379 = 721131218012
BaseRepresentation
bin11000011100101110110…
…010011111110111001011
312221121200020221001102002
4120130232302133313023
5210011340000434004
63323500222301215
7232245604405400
oct30345662376713
95847606831362
101680117202379
115985963a6440
1223174ba2780b
13c2585415575
145b464c542a7
152da8500461e
hex1872ec9fdcb

1680117202379 has 54 divisors (see below), whose sum is σ = 2204316662436. Its totient is φ = 1266247080000.

The previous prime is 1680117202349. The next prime is 1680117202381. The reversal of 1680117202379 is 9732027110861.

It is not a de Polignac number, because 1680117202379 - 228 = 1679848766923 is a prime.

It is a super-3 number, since 3×16801172023793 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1680117202319) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 932879279 + ... + 932881079.

It is an arithmetic number, because the mean of its divisors is an integer number (40820678934).

Almost surely, 21680117202379 is an apocalyptic number.

1680117202379 is a deficient number, since it is larger than the sum of its proper divisors (524199460057).

1680117202379 is an frugal number, since it uses more digits than its factorization.

1680117202379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 1680117202379 in words is "one trillion, six hundred eighty billion, one hundred seventeen million, two hundred two thousand, three hundred seventy-nine".

Divisors: 1 7 11 31 49 77 217 341 539 961 1519 1801 2387 6727 10571 12607 16709 19811 47089 55831 73997 88249 138677 390817 517979 614141 970739 1730761 2735719 3243601 4298987 12115327 19038371 22705207 30092909 35679611 84807289 100551631 133268597 158936449 249757277 703861417 932880179 1106067941 1748300939 3117100561 4927029919 7742475587 21819703927 34288106171 54197329109 152737927489 240016743197 1680117202379