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1688378052683 = 723711014493257
BaseRepresentation
bin11000100100011011001…
…011001001000001001011
312222101222222011201122202
4120210123023021001023
5210130244240141213
63331344041110415
7232660403441150
oct30443313110113
95871888151582
101688378052683
115a1045438553
1223327648840b
13c32a09c997a
145ba0a020227
152ddba378b58
hex1891b2c904b

1688378052683 has 64 divisors (see below), whose sum is σ = 2067271372800. Its totient is φ = 1347827712000.

The previous prime is 1688378052671. The next prime is 1688378052703. The reversal of 1688378052683 is 3862508738861.

It is a de Polignac number, because none of the positive numbers 2k-1688378052683 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1688378051683) 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, 518382791 + ... + 518386047.

It is an arithmetic number, because the mean of its divisors is an integer number (32301115200).

Almost surely, 21688378052683 is an apocalyptic number.

1688378052683 is a deficient number, since it is larger than the sum of its proper divisors (378893320117).

1688378052683 is a wasteful number, since it uses less digits than its factorization.

1688378052683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 92897280, while the sum is 65.

The spelling of 1688378052683 in words is "one trillion, six hundred eighty-eight billion, three hundred seventy-eight million, fifty-two thousand, six hundred eighty-three".

Divisors: 1 7 23 71 101 161 449 497 707 1633 2323 3143 3257 7171 10327 11431 16261 22799 31879 45349 50197 72289 74911 164933 223153 231247 317443 328957 524377 733217 1043027 1154531 1462393 1618729 2302699 3219779 5132519 5318681 7301189 7566011 10236751 22538453 23355947 33635039 37230767 52962077 74054917 103829903 147701693 163491629 235445273 518384419 537186781 726809321 1033911851 2388087769 3397138939 3760307467 10486820203 16716614383 23779972573 73407741421 241196864669 1688378052683