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689007348480 = 283511411313037
BaseRepresentation
bin10100000011011000000…
…10011100101100000000
32102212110002212211201110
422001230002130230000
542242041340122410
61244305310403320
7100531146554553
oct12015402345400
92385402784643
10689007348480
1124622a75a930
12b164b200540
134cc85c16309
14254c33c869a
1512dc8eba720
hexa06c09cb00

689007348480 has 576 divisors, whose sum is σ = 2478702352896. Its totient is φ = 161660928000.

The previous prime is 689007348467. The next prime is 689007348539. The reversal of 689007348480 is 84843700986.

It is a super-2 number, since 2×6890073484802 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 689007348480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226869522 + ... + 226872558.

It is an arithmetic number, because the mean of its divisors is an integer number (4303302696).

Almost surely, 2689007348480 is an apocalyptic number.

689007348480 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 689007348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239351176448).

689007348480 is an abundant number, since it is smaller than the sum of its proper divisors (1789695004416).

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

689007348480 is a wasteful number, since it uses less digits than its factorization.

689007348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 689007348480 in words is "six hundred eighty-nine billion, seven million, three hundred forty-eight thousand, four hundred eighty".