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1668506480 = 2451723411301
BaseRepresentation
bin110001101110011…
…0110001101110000
311022021120220121022
41203130312031300
511404114201410
6433321515012
756230033244
oct14334661560
94267526538
101668506480
11786912683
123a6942a68
132078a0854
1411b848424
159b732455
hex63736370

1668506480 has 160 divisors (see below), whose sum is σ = 4393968768. Its totient is φ = 585728000.

The previous prime is 1668506471. The next prime is 1668506509. The reversal of 1668506480 is 846058661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281830 + ... + 1283130.

Almost surely, 21668506480 is an apocalyptic number.

1668506480 is a gapful number since it is divisible by the number (10) 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 1668506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196984384).

1668506480 is an abundant number, since it is smaller than the sum of its proper divisors (2725462288).

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

1668506480 is a wasteful number, since it uses less digits than its factorization.

1668506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 1668506480 is about 40847.3558507769. The cubic root of 1668506480 is about 1186.0672090465.

The spelling of 1668506480 in words is "one billion, six hundred sixty-eight million, five hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 41 46 68 80 82 85 92 115 136 164 170 184 205 230 272 328 340 368 391 410 460 656 680 697 782 820 920 943 1301 1360 1394 1564 1640 1840 1886 1955 2602 2788 3128 3280 3485 3772 3910 4715 5204 5576 6256 6505 6970 7544 7820 9430 10408 11152 13010 13940 15088 15640 16031 18860 20816 22117 26020 27880 29923 31280 32062 37720 44234 52040 53341 55760 59846 64124 75440 80155 88468 104080 106682 110585 119692 128248 149615 160310 176936 213364 221170 239384 256496 266705 299230 320620 353872 426728 442340 478768 508691 533410 598460 641240 853456 884680 906797 1017382 1066820 1196920 1226843 1282480 1769360 1813594 2034764 2133640 2393840 2453686 2543455 3627188 4069528 4267280 4533985 4907372 5086910 6134215 7254376 8139056 9067970 9814744 10173820 12268430 14508752 18135940 19629488 20347640 20856331 24536860 36271880 40695280 41712662 49073720 72543760 83425324 98147440 104281655 166850648 208563310 333701296 417126620 834253240 1668506480