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10209331177640 = 2357178447204329
BaseRepresentation
bin1001010010010000101110…
…0011101110100010101000
31100011000001211202212122122
42110210023203232202220
52314232202240141030
633414034010410412
72102412513113660
oct224441343564250
940130054685578
1010209331177640
113286831325081
12118a778430a08
1359097472078a
142741c45d31a0
1512a87c6b08e5
hex9490b8ee8a8

10209331177640 has 64 divisors (see below), whose sum is σ = 26252841484800. Its totient is φ = 3500305371648.

The previous prime is 10209331177601. The next prime is 10209331177673. The reversal of 10209331177640 is 4677113390201.

It is a junction number, because it is equal to n+sod(n) for n = 10209331177591 and 10209331177600.

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 15 ways as a sum of consecutive naturals, for example, 49862996 + ... + 50067324.

It is an arithmetic number, because the mean of its divisors is an integer number (410200648200).

Almost surely, 210209331177640 is an apocalyptic number.

10209331177640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10209331177640 is an abundant number, since it is smaller than the sum of its proper divisors (16043510307160).

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

10209331177640 is a wasteful number, since it uses less digits than its factorization.

10209331177640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382794 (or 382790 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 10209331177640 in words is "ten trillion, two hundred nine billion, three hundred thirty-one million, one hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 178447 204329 356894 408658 713788 817316 892235 1021645 1249129 1427576 1430303 1634632 1784470 2043290 2498258 2860606 3568940 4086580 4996516 5721212 6245645 7137880 7151515 8173160 9993032 11442424 12491290 14303030 24982580 28606060 49965160 57212120 36461897063 72923794126 145847588252 182309485315 255233279441 291695176504 364618970630 510466558882 729237941260 1020933117764 1276166397205 1458475882520 2041866235528 2552332794410 5104665588820 10209331177640