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3313927680 = 2935761643
BaseRepresentation
bin1100010110000110…
…1000011000000000
322112221201222011020
43011201220120000
523241331141210
61304500545440
7145056630510
oct30541503000
98487658136
103313927680
111450697a08
127859b2280
1340a74a86b
142361a3840
15145e04770
hexc5868600

3313927680 has 160 divisors (see below), whose sum is σ = 12107867904. Its totient is φ = 757456896.

The previous prime is 3313927679. The next prime is 3313927717. The reversal of 3313927680 is 867293133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 22939 + ... + 84581.

Almost surely, 23313927680 is an apocalyptic number.

3313927680 is a gapful number since it is divisible by the number (30) 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 3313927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053933952).

3313927680 is an abundant number, since it is smaller than the sum of its proper divisors (8793940224).

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

3313927680 is an equidigital number, since it uses as much as digits as its factorization.

3313927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61676 (or 61660 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3313927680 is about 57566.7237212611. The cubic root of 3313927680 is about 1490.8971190069.

The spelling of 3313927680 in words is "three billion, three hundred thirteen million, nine hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 61643 123286 184929 246572 308215 369858 431501 493144 616430 739716 863002 924645 986288 1232860 1294503 1479432 1726004 1849290 1972576 2157505 2465720 2589006 2958864 3452008 3698580 3945152 4315010 4931440 5178012 5917728 6472515 6904016 7397160 7890304 8630020 9862880 10356024 11835456 12945030 13808032 14794320 15780608 17260040 19725760 20712048 23670912 25890060 27616064 29588640 31561216 34520080 39451520 41424096 47341824 51780120 55232128 59177280 69040160 78903040 82848192 94683648 103560240 110464256 118354560 138080320 157806080 165696384 207120480 220928512 236709120 276160640 331392768 414240960 473418240 552321280 662785536 828481920 1104642560 1656963840 3313927680