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6649918128 = 243373170937
BaseRepresentation
bin1100011000101110…
…11011001010110000
3122011102222211202000
412030113123022300
5102104334340003
63015510454000
7323535241260
oct61427331260
918142884660
106649918128
112902783a07
121357064300
1381c9216c9
1447126b7a0
1528dc161a3
hex18c5db2b0

6649918128 has 160 divisors (see below), whose sum is σ = 22518558720. Its totient is φ = 1838661120.

The previous prime is 6649918087. The next prime is 6649918139. The reversal of 6649918128 is 8218199466.

It is a super-2 number, since 2×66499181282 = 88442822218206048768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58276 + ... + 129212.

It is an arithmetic number, because the mean of its divisors is an integer number (140740992).

Almost surely, 26649918128 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 6649918128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11259279360).

6649918128 is an abundant number, since it is smaller than the sum of its proper divisors (15868640592).

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

6649918128 is a wasteful number, since it uses less digits than its factorization.

6649918128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70992 (or 70980 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 6649918128 is about 81547.0301605153. The cubic root of 6649918128 is about 1880.4946382184.

The spelling of 6649918128 in words is "six billion, six hundred forty-nine million, nine hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 70937 93744 141874 212811 283748 425622 496559 567496 638433 851244 993118 1134992 1276866 1489677 1702488 1915299 1986236 2199047 2553732 2979354 3404976 3830598 3972472 4398094 4469031 5107464 5958708 6597141 7661196 7944944 8796188 8938062 10214928 11917416 13194282 13407093 15322392 15393329 17592376 17876124 19791423 23834832 26388564 26814186 30644784 30786658 35184752 35752248 39582846 46179987 52777128 53628372 59374269 61573316 71504496 79165692 92359974 105554256 107256744 118748538 123146632 138539961 158331384 184719948 214513488 237497076 246293264 277079922 316662768 369439896 415619883 474994152 554159844 738879792 831239766 949988304 1108319688 1662479532 2216639376 3324959064 6649918128