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8480961984 = 2631113729311
BaseRepresentation
bin1111110011000000…
…10011010111000000
3210220001102111201010
413321200103113000
5114332111240414
63521320240520
7420110662455
oct77140232700
923801374633
108480961984
1136623112a0
121788310140
13a52090901
145a650582c
15349852959
hex1f98135c0

8480961984 has 112 divisors (see below), whose sum is σ = 24658661376. Its totient is φ = 2551142400.

The previous prime is 8480961967. The next prime is 8480961991. The reversal of 8480961984 is 4891690848.

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, 274689 + ... + 303999.

Almost surely, 28480961984 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 8480961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329330688).

8480961984 is an abundant number, since it is smaller than the sum of its proper divisors (16177699392).

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

8480961984 is a wasteful number, since it uses less digits than its factorization.

8480961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29474 (or 29464 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The square root of 8480961984 is about 92092.1385569908. The cubic root of 8480961984 is about 2039.3027528738.

The spelling of 8480961984 in words is "eight billion, four hundred eighty million, nine hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 137 176 192 264 274 352 411 528 548 704 822 1056 1096 1507 1644 2112 2192 3014 3288 4384 4521 6028 6576 8768 9042 12056 13152 18084 24112 26304 29311 36168 48224 58622 72336 87933 96448 117244 144672 175866 234488 289344 322421 351732 468976 644842 703464 937952 967263 1289684 1406928 1875904 1934526 2579368 2813856 3869052 4015607 5158736 5627712 7738104 8031214 10317472 12046821 15476208 16062428 20634944 24093642 30952416 32124856 44171677 48187284 61904832 64249712 88343354 96374568 128499424 132515031 176686708 192749136 256998848 265030062 353373416 385498272 530060124 706746832 770996544 1060120248 1413493664 2120240496 2826987328 4240480992 8480961984