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13278464730 = 2335713132213
BaseRepresentation
bin11000101110111010…
…10100101011011010
31021021101202220021000
430113131110223122
5204143241332410
610033335325430
7650024042106
oct142735245332
937241686230
1013278464730
1156a43900a3
1226a6b20876
131337c9c62b
148dd734906
1552ab09dc0
hex317754ada

13278464730 has 128 divisors (see below), whose sum is σ = 36038960640. Its totient is φ = 3478325760.

The previous prime is 13278464729. The next prime is 13278464741. The reversal of 13278464730 is 3746487231.

13278464730 is a `hidden beast` number, since 132 + 7 + 8 + 46 + 473 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5999104 + ... + 6001316.

It is an arithmetic number, because the mean of its divisors is an integer number (281554380).

Almost surely, 213278464730 is an apocalyptic number.

13278464730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13278464730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019480320).

13278464730 is an abundant number, since it is smaller than the sum of its proper divisors (22760495910).

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

13278464730 is a wasteful number, since it uses less digits than its factorization.

13278464730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 13278464730 in words is "thirteen billion, two hundred seventy-eight million, four hundred sixty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 313 355 426 626 639 710 939 1065 1278 1565 1878 1917 2130 2213 2817 3130 3195 3834 4426 4695 5634 6390 6639 8451 9390 9585 11065 13278 14085 16902 19170 19917 22130 22223 28170 33195 39834 42255 44446 59751 66390 66669 84510 99585 111115 119502 133338 157123 199170 200007 222230 298755 314246 333345 400014 471369 597510 600021 666690 692669 785615 942738 1000035 1200042 1385338 1414107 1571230 2000070 2078007 2356845 2828214 3000105 3463345 4156014 4242321 4713690 6000210 6234021 6926690 7070535 8484642 10390035 12468042 14141070 18702063 20780070 21211605 31170105 37404126 42423210 49179499 62340210 93510315 98358998 147538497 187020630 245897495 295076994 442615491 491794990 737692485 885230982 1327846473 1475384970 2213077455 2655692946 4426154910 6639232365 13278464730