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3840771816 = 233472233797
BaseRepresentation
bin1110010011101101…
…1000011011101000
3100220200002102110000
43210323120123220
530331214144231
61433041023000
7164115010320
oct34473303350
910820072400
103840771816
1116a1019792
128b2324a60
1349294135b
14286146280
151772c16e6
hexe4ed86e8

3840771816 has 160 divisors (see below), whose sum is σ = 12352919040. Its totient is φ = 1092154752.

The previous prime is 3840771811. The next prime is 3840771859. The reversal of 3840771816 is 6181770483.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3840771811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009630 + ... + 1013426.

It is an arithmetic number, because the mean of its divisors is an integer number (77205744).

Almost surely, 23840771816 is an apocalyptic number.

3840771816 is a gapful number since it is divisible by the number (36) 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 3840771816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176459520).

3840771816 is an abundant number, since it is smaller than the sum of its proper divisors (8512147224).

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

3840771816 is a wasteful number, since it uses less digits than its factorization.

3840771816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 3840771816 is about 61973.9607899963. The cubic root of 3840771816 is about 1566.0519646296.

The spelling of 3840771816 in words is "three billion, eight hundred forty million, seven hundred seventy-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 223 252 324 378 446 504 567 648 669 756 892 1134 1338 1512 1561 1784 2007 2268 2676 3122 3797 4014 4536 4683 5352 6021 6244 7594 8028 9366 11391 12042 12488 14049 15188 16056 18063 18732 22782 24084 26579 28098 30376 34173 36126 37464 42147 45564 48168 53158 56196 68346 72252 79737 84294 91128 102519 106316 112392 126441 136692 144504 159474 168588 205038 212632 239211 252882 273384 307557 318948 337176 410076 478422 505764 615114 637896 717633 820152 846731 956844 1011528 1230228 1435266 1693462 1913688 2152899 2460456 2540193 2870532 3386924 4305798 5080386 5741064 5927117 6773848 7620579 8611596 10160772 11854234 15241158 17223192 17781351 20321544 22861737 23708468 30482316 35562702 45723474 47416936 53344053 60964632 68585211 71125404 91446948 106688106 137170422 142250808 160032159 182893896 213376212 274340844 320064318 426752424 480096477 548681688 640128636 960192954 1280257272 1920385908 3840771816