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688875276870781 = 7111311335711705447
BaseRepresentation
bin1001110010100001110100011…
…0001011000010010001111101
310100100002211111110222120221021
42130220131012023002101331
51210243013031334331111
610441040533334104141
7265046411355144460
oct23450350613022175
93310084443876837
10688875276870781
1118a551400941210
12653187884ab051
132374c876975b40
14c217a541b32d7
155499360866d71
hex27287462c247d

688875276870781 has 64 divisors (see below), whose sum is σ = 933370460983296. Its totient is φ = 490971980620800.

The previous prime is 688875276870773. The next prime is 688875276870793. The reversal of 688875276870781 is 187078672578886.

It is not a de Polignac number, because 688875276870781 - 23 = 688875276870773 is a prime.

It is a super-3 number, since 3×6888752768707813 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 688875276870692 and 688875276870701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688875276870721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403073800 + ... + 404779246.

It is an arithmetic number, because the mean of its divisors is an integer number (14583913452864).

Almost surely, 2688875276870781 is an apocalyptic number.

It is an amenable number.

688875276870781 is a deficient number, since it is larger than the sum of its proper divisors (244495184112515).

688875276870781 is a wasteful number, since it uses less digits than its factorization.

688875276870781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709162.

The product of its (nonzero) digits is 28323348480, while the sum is 88.

The spelling of 688875276870781 in words is "six hundred eighty-eight trillion, eight hundred seventy-five billion, two hundred seventy-six million, eight hundred seventy thousand, seven hundred eighty-one".

Divisors: 1 7 11 13 77 91 113 143 791 1001 1243 1469 3571 8701 10283 16159 24997 39281 46423 113113 274967 324961 403523 510653 1705447 2824661 3574571 4438753 5245799 11938129 18759917 22170811 31071271 36720593 57703789 131319419 155195677 192715511 243878921 403926523 1349008577 1707152447 2119870621 2505301643 6090151237 14839094347 17537111501 27558318073 42631058659 66991663607 79171966081 192908226511 468941645249 554203762567 688187089781 870891626891 4817309628467 6096241388237 7570057987591 8946432167153 52990405913137 62625025170071 98410753838683 688875276870781