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12778449640 = 2351185933809
BaseRepresentation
bin10111110011010011…
…11010101011101000
31012222112220111111121
423321221322223220
5202132240342030
65511554305024
7631443013135
oct137151725350
935875814447
1012778449640
115468113390
122587588174
131288510708
1489317758c
154ebc8c47a
hex2f9a7aae8

12778449640 has 64 divisors (see below), whose sum is σ = 31402728000. Its totient is φ = 4641162240.

The previous prime is 12778449637. The next prime is 12778449661. The reversal of 12778449640 is 4694487721.

It is a super-2 number, since 2×127784496402 (a number of 21 digits) contains 22 as substring.

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, 361056 + ... + 394864.

It is an arithmetic number, because the mean of its divisors is an integer number (490667625).

Almost surely, 212778449640 is an apocalyptic number.

12778449640 is a gapful number since it is divisible by the number (10) 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 12778449640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701364000).

12778449640 is an abundant number, since it is smaller than the sum of its proper divisors (18624278360).

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

12778449640 is a wasteful number, since it uses less digits than its factorization.

12778449640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34690 (or 34686 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 12778449640 in words is "twelve billion, seven hundred seventy-eight million, four hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 859 1718 3436 4295 6872 8590 9449 17180 18898 33809 34360 37796 47245 67618 75592 94490 135236 169045 188980 270472 338090 371899 377960 676180 743798 1352360 1487596 1859495 2975192 3718990 7437980 14875960 29041931 58083862 116167724 145209655 232335448 290419310 319461241 580838620 638922482 1161677240 1277844964 1597306205 2555689928 3194612410 6389224820 12778449640