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690480283648 = 21641313821
BaseRepresentation
bin10100000110000111101…
…01010000000000000000
32110000020202110200220211
422003003311100000000
542303100423034043
61245111404443504
7100612513400311
oct12030365200000
92400222420824
10690480283648
11246916134921
12b19a0549594
135015c12059c
14255c2c84608
1512e6346aa9d
hexa0c3d50000

690480283648 has 136 divisors (see below), whose sum is σ = 1420879894056. Its totient is φ = 335334604800.

The previous prime is 690480283639. The next prime is 690480283663. The reversal of 690480283648 is 846382084096.

It can be written as a sum of positive squares in 4 ways, for example, as 85619441664 + 604860841984 = 292608^2 + 777728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 690480283592 and 690480283601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841023078 + ... + 841023898.

Almost surely, 2690480283648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690480283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710439947028).

690480283648 is an abundant number, since it is smaller than the sum of its proper divisors (730399610408).

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

690480283648 is an frugal number, since it uses more digits than its factorization.

690480283648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 690480283648 in words is "six hundred ninety billion, four hundred eighty million, two hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 313 328 512 626 656 821 1024 1252 1312 1642 2048 2504 2624 3284 4096 5008 5248 6568 8192 10016 10496 12833 13136 16384 20032 20992 25666 26272 32768 33661 40064 41984 51332 52544 65536 67322 80128 83968 102664 105088 134644 160256 167936 205328 210176 256973 269288 320512 335872 410656 420352 513946 538576 641024 671744 821312 840704 1027892 1077152 1282048 1343488 1642624 1681408 2055784 2154304 2564096 2686976 3285248 3362816 4111568 4308608 5128192 6570496 6725632 8223136 8617216 10256384 10535893 13140992 13451264 16446272 17234432 20512768 21071786 26281984 26902528 32892544 34468864 42143572 52563968 53805056 65785088 68937728 84287144 105127936 131570176 137875456 168574288 210255872 263140352 275750912 337148576 420511744 526280704 551501824 674297152 841023488 1052561408 1103003648 1348594304 2105122816 2206007296 2697188608 4210245632 5394377216 8420491264 10788754432 16840982528 21577508864 43155017728 86310035456 172620070912 345240141824 690480283648