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10134346560 = 263513812047
BaseRepresentation
bin10010111000000110…
…11101101101000000
3222011021120010221220
421130003131231000
5131223343042220
64353342115040
7506065344612
oct113403355500
928137503856
1010134346560
114330635628
121b69b7ba80
13c56798490
146c1d34db2
153e4a99540
hex25c0ddb40

10134346560 has 112 divisors (see below), whose sum is σ = 34651712256. Its totient is φ = 2494605312.

The previous prime is 10134346553. The next prime is 10134346567. The reversal of 10134346560 is 6564343101.

It is an interprime number because it is at equal distance from previous prime (10134346553) and next prime (10134346567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134346567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393544 + ... + 418503.

It is an arithmetic number, because the mean of its divisors is an integer number (309390288).

Almost surely, 210134346560 is an apocalyptic number.

10134346560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134346560 is an abundant number, since it is smaller than the sum of its proper divisors (24517365696).

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

10134346560 is a wasteful number, since it uses less digits than its factorization.

10134346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812080 (or 812070 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 10134346560 its reverse (6564343101), we get a palindrome (16698689661).

The spelling of 10134346560 in words is "ten billion, one hundred thirty-four million, three hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 812047 1624094 2436141 3248188 4060235 4872282 6496376 8120470 9744564 10556611 12180705 12992752 16240940 19489128 21113222 24361410 25985504 31669833 32481880 38978256 42226444 48722820 51971008 52783055 63339666 64963760 77956512 84452888 97445640 105566110 126679332 129927520 155913024 158349165 168905776 194891280 211132220 253358664 259855040 316698330 337811552 389782560 422264440 506717328 633396660 675623104 779565120 844528880 1013434656 1266793320 1689057760 2026869312 2533586640 3378115520 5067173280 10134346560