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3781204680 = 2335116134673
BaseRepresentation
bin1110000101100000…
…1001101011001000
3100202112000002200210
43201120021223020
530220442022210
61423112201120
7162462465231
oct34130115310
910675002623
103781204680
111670434050
128963991a0
134834b6426
1427c27c088
15171e56e20
hexe1609ac8

3781204680 has 128 divisors (see below), whose sum is σ = 12397691520. Its totient is φ = 914964480.

The previous prime is 3781204631. The next prime is 3781204703. The reversal of 3781204680 is 864021873.

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 31 ways as a sum of consecutive naturals, for example, 806824 + ... + 811496.

It is an arithmetic number, because the mean of its divisors is an integer number (96856965).

Almost surely, 23781204680 is an apocalyptic number.

3781204680 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 3781204680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198845760).

3781204680 is an abundant number, since it is smaller than the sum of its proper divisors (8616486840).

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

3781204680 is a wasteful number, since it uses less digits than its factorization.

3781204680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3781204680 is about 61491.5008761373. The cubic root of 3781204680 is about 1557.9136969414.

The spelling of 3781204680 in words is "three billion, seven hundred eighty-one million, two hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 613 660 1226 1320 1839 2452 3065 3678 4673 4904 6130 6743 7356 9195 9346 12260 13486 14019 14712 18390 18692 20229 23365 24520 26972 28038 33715 36780 37384 40458 46730 51403 53944 56076 67430 70095 73560 80916 93460 101145 102806 112152 134860 140190 154209 161832 186920 202290 205612 257015 269720 280380 308418 404580 411224 514030 560760 616836 771045 809160 1028060 1233672 1542090 2056120 2864549 3084180 5729098 6168360 8593647 11458196 14322745 17187294 22916392 28645490 31510039 34374588 42968235 57290980 63020078 68749176 85936470 94530117 114581960 126040156 157550195 171872940 189060234 252080312 315100390 343745880 378120468 472650585 630200780 756240936 945301170 1260401560 1890602340 3781204680