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688991060304 = 2432151251126241
BaseRepresentation
bin10100000011010110001…
…00010100000101010000
32102212101222020022112200
422001223010110011100
542242023202412204
61244303525323200
7100530561245301
oct12015304240520
92385358208480
10688991060304
11246221545328
12b1645866500
134cc82732541
14254c11887a8
1512dc784e539
hexa06b114150

688991060304 has 120 divisors (see below), whose sum is σ = 1948736147904. Its totient is φ = 227232000000.

The previous prime is 688991060297. The next prime is 688991060327. The reversal of 688991060304 is 403060199886.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5394624 + ... + 5520864.

Almost surely, 2688991060304 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 688991060304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974368073952).

688991060304 is an abundant number, since it is smaller than the sum of its proper divisors (1259745087600).

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

688991060304 is a wasteful number, since it uses less digits than its factorization.

688991060304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126657 (or 126648 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 688991060304 in words is "six hundred eighty-eight billion, nine hundred ninety-one million, sixty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 251 302 453 502 604 753 906 1004 1208 1359 1506 1812 2008 2259 2416 2718 3012 3624 4016 4518 5436 6024 7248 9036 10872 12048 18072 21744 36144 37901 75802 113703 126241 151604 227406 252482 303208 341109 378723 454812 504964 606416 682218 757446 909624 1009928 1136169 1364436 1514892 1819248 2019856 2272338 2728872 3029784 4544676 5457744 6059568 9089352 18178704 19062391 31686491 38124782 57187173 63372982 76249564 95059473 114374346 126745964 152499128 171561519 190118946 228748692 253491928 285178419 304998256 343123038 380237892 457497384 506983856 570356838 686246076 760475784 914994768 1140713676 1372492152 1520951568 2281427352 2744984304 4562854704 4784660141 9569320282 14353980423 19138640564 28707960846 38277281128 43061941269 57415921692 76554562256 86123882538 114831843384 172247765076 229663686768 344495530152 688991060304