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1688307534345 = 354143349182929
BaseRepresentation
bin11000100100010110111…
…110001000101000001001
312222101211001111000200110
4120210112332020220021
5210130123212044340
63331333041424533
7232655556155265
oct30442676105011
95871731430613
101688307534345
115a1009653033
1223325693b149
13c328c209243
145ba009050a5
152ddb4099680
hex18916f88a09

1688307534345 has 64 divisors (see below), whose sum is σ = 2839658976000. Its totient is φ = 855576207360.

The previous prime is 1688307534311. The next prime is 1688307534349. The reversal of 1688307534345 is 5434357038861.

It is not a de Polignac number, because 1688307534345 - 29 = 1688307533833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1688307534349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9137841 + ... + 9320769.

It is an arithmetic number, because the mean of its divisors is an integer number (44369671500).

Almost surely, 21688307534345 is an apocalyptic number.

1688307534345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1688307534345 is a deficient number, since it is larger than the sum of its proper divisors (1151351441655).

1688307534345 is a wasteful number, since it uses less digits than its factorization.

1688307534345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183370.

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 1688307534345 in words is "one trillion, six hundred eighty-eight billion, three hundred seven million, five hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 15 41 43 123 129 205 215 349 615 645 1047 1745 1763 5235 5289 8815 14309 15007 26445 42927 45021 71545 75035 182929 214635 225105 548787 615287 914645 1845861 2743935 3076435 7500089 7865947 9229305 22500267 23597841 37500445 39329735 63842221 112501335 117989205 191526663 319211105 322503827 957633315 967511481 1612519135 2617531061 2745215503 4837557405 7852593183 8235646509 13087655305 13726077515 39262965915 41178232545 112553835623 337661506869 562769178115 1688307534345