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689410920928 = 251719514712959
BaseRepresentation
bin10100000100001000001…
…01111101000111100000
32102220111020021110001011
422002010011331013200
542243403143432203
61244413324350304
7100544150065612
oct12020405750740
92386436243034
10689410920928
11246417545884
12b17423a5394
135001b708992
1425520c3cdb2
1512dee63776d
hexa08417d1e0

689410920928 has 96 divisors (see below), whose sum is σ = 1513166054400. Its totient is φ = 307270047744.

The previous prime is 689410920899. The next prime is 689410920943. The reversal of 689410920928 is 829029014986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53192913 + ... + 53205871.

It is an arithmetic number, because the mean of its divisors is an integer number (15762146400).

Almost surely, 2689410920928 is an apocalyptic number.

689410920928 is a gapful number since it is divisible by the number (68) 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 689410920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756583027200).

689410920928 is an abundant number, since it is smaller than the sum of its proper divisors (823755133472).

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

689410920928 is a wasteful number, since it uses less digits than its factorization.

689410920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 689410920928 in words is "six hundred eighty-nine billion, four hundred ten million, nine hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5147 5168 10294 10336 12959 20588 25918 41176 51836 82352 87499 97793 103672 164704 174998 195586 207344 220303 246221 349996 391172 414688 440606 492442 699992 782344 881212 984884 1399984 1564688 1662481 1762424 1969768 2799968 3129376 3324962 3524848 3939536 4185757 6649924 7049696 7879072 8371514 13299848 16743028 26599696 33486056 53199392 66699973 66972112 133399946 133944224 266799892 533599784 1067199568 1133899541 1267299487 2134399136 2267799082 2534598974 4535598164 5069197948 9071196328 10138395896 18142392656 20276791792 21544091279 36284785312 40553583584 43088182558 86176365116 172352730232 344705460464 689410920928