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38678403381300 = 223252172528000221
BaseRepresentation
bin10001100101101100001000…
…11111100111100000110100
312001221121201102201122201200
420302312010133213200310
520032201332231200200
6214132340242052500
711101264615120164
oct1062660437474064
9161847642648650
1038678403381300
1111362467401681
12440817304a130
1318774860a4a07
1497a08a9945a4
154711a9ce8800
hex232d847e7834

38678403381300 has 108 divisors (see below), whose sum is σ = 128366795272716. Its totient is φ = 9707520844800.

The previous prime is 38678403381227. The next prime is 38678403381311. The reversal of 38678403381300 is 318330487683.

38678403381300 is a `hidden beast` number, since 3 + 8 + 6 + 78 + 403 + 38 + 130 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2102349202704 + 36576054178596 = 1449948^2 + 6047814^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1263984811 + ... + 1264015410.

Almost surely, 238678403381300 is an apocalyptic number.

38678403381300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38678403381300 is an abundant number, since it is smaller than the sum of its proper divisors (89688391891416).

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

38678403381300 is a wasteful number, since it uses less digits than its factorization.

38678403381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528000258 (or 2528000248 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38678403381300 in words is "thirty-eight trillion, six hundred seventy-eight billion, four hundred three million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 2528000221 5056000442 7584000663 10112000884 12640001105 15168001326 22752001989 25280002210 30336002652 37920003315 42976003757 45504003978 50560004420 63200005525 75840006630 85952007514 91008007956 113760009945 126400011050 128928011271 151680013260 171904015028 189600016575 214880018785 227520019890 252800022100 257856022542 379200033150 386784033813 429760037570 455040039780 515712045084 568800049725 644640056355 758400066300 773568067626 859520075140 1074400093925 1137600099450 1289280112710 1547136135252 1933920169065 2148800187850 2275200198900 2578560225420 3223200281775 3867840338130 4297600375700 6446400563550 7735680676260 9669600845325 12892801127100 19339201690650 38678403381300