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8354489680 = 245592816299
BaseRepresentation
bin1111100011111011…
…10110010101010000
3210120020110001022201
413301331312111100
5114102222132210
63501001412544
7414013663525
oct76175662520
923506401281
108354489680
1135a7989829
121751a9a154
13a31b0ba24
145937c314c
1533d6be53a
hex1f1f76550

8354489680 has 80 divisors (see below), whose sum is σ = 19826856000. Its totient is φ = 3272944640.

The previous prime is 8354489579. The next prime is 8354489711. The reversal of 8354489680 is 869844538.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323171 + ... + 1329469.

It is an arithmetic number, because the mean of its divisors is an integer number (247835700).

Almost surely, 28354489680 is an apocalyptic number.

8354489680 is a gapful number since it is divisible by the number (80) 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 8354489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913428000).

8354489680 is an abundant number, since it is smaller than the sum of its proper divisors (11472366320).

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

8354489680 is a wasteful number, since it uses less digits than its factorization.

8354489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The square root of 8354489680 is about 91402.8975470690. The cubic root of 8354489680 is about 2029.1149109736.

The spelling of 8354489680 in words is "eight billion, three hundred fifty-four million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 281 295 472 562 590 944 1124 1180 1405 2248 2360 2810 4496 4720 5620 6299 11240 12598 16579 22480 25196 31495 33158 50392 62990 66316 82895 100784 125980 132632 165790 251960 265264 331580 371641 503920 663160 743282 1326320 1486564 1770019 1858205 2973128 3540038 3716410 5946256 7080076 7432820 8850095 14160152 14865640 17700190 28320304 29731280 35400380 70800760 104431121 141601520 208862242 417724484 522155605 835448968 1044311210 1670897936 2088622420 4177244840 8354489680