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689920842060 = 22355983314437
BaseRepresentation
bin10100000101000100111…
…11001001100101001100
32102221210202210010100000
422002202133021211030
542300424213421220
61244540102004300
7100562611253262
oct12024237114514
92387722703300
10689920842060
112466593690aa
12b1865116690
13500a0255768
142556c858432
1512e2e2b0390
hexa0a27c994c

689920842060 has 144 divisors (see below), whose sum is σ = 2170640568096. Its totient is φ = 183947438592.

The previous prime is 689920842041. The next prime is 689920842071. The reversal of 689920842060 is 60248029986.

It is a happy number.

689920842060 is a `hidden beast` number, since 6 + 8 + 9 + 9 + 208 + 420 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 689920841988 and 689920842006.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47781162 + ... + 47795598.

It is an arithmetic number, because the mean of its divisors is an integer number (15073892834).

Almost surely, 2689920842060 is an apocalyptic number.

689920842060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689920842060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085320284048).

689920842060 is an abundant number, since it is smaller than the sum of its proper divisors (1480719726036).

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

689920842060 is a wasteful number, since it uses less digits than its factorization.

689920842060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24294 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 689920842060 in words is "six hundred eighty-nine billion, nine hundred twenty million, eight hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 9833 14437 19666 28874 29499 39332 43311 49165 57748 58998 72185 86622 88497 98330 117996 129933 144370 147495 173244 176994 196660 216555 259866 265491 288740 294990 353988 389799 433110 442485 519732 530982 589980 649665 779598 796473 866220 884970 1061964 1169397 1299330 1327455 1559196 1592946 1769940 1948995 2338794 2389419 2598660 2654910 3185892 3508191 3897990 3982365 4677588 4778838 5309820 5846985 7016382 7795980 7964730 9557676 11693970 11947095 14032764 15929460 17540955 23387940 23894190 35081910 47788380 70163820 141959021 283918042 425877063 567836084 709795105 851754126 1277631189 1419590210 1703508252 2129385315 2555262378 2839180420 3832893567 4258770630 5110524756 6388155945 7665787134 8517541260 11498680701 12776311890 15331574268 19164467835 22997361402 25552623780 34496042103 38328935670 45994722804 57493403505 68992084206 76657871340 114986807010 137984168412 172480210515 229973614020 344960421030 689920842060