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10245431226640 = 245433877768203
BaseRepresentation
bin1001010100010111001101…
…0010011111000100010000
31100021110020201101101010111
42111011303102133010100
52320330120343223030
633442404112011104
72105131223346151
oct225056322370420
940243221341114
1010245431226640
1132a0076914215
121195772230a94
135941a881150c
14275c4ac51928
1512b791ad662a
hex9517349f110

10245431226640 has 80 divisors (see below), whose sum is σ = 24380914396608. Its totient is φ = 4001828479488.

The previous prime is 10245431226559. The next prime is 10245431226647. The reversal of 10245431226640 is 4662213454201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102454312266402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10245431226593 and 10245431226602.

It is not an unprimeable number, because it can be changed into a prime (10245431226647) by changing a digit.

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, 12952779 + ... + 13720981.

Almost surely, 210245431226640 is an apocalyptic number.

10245431226640 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 10245431226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190457198304).

10245431226640 is an abundant number, since it is smaller than the sum of its proper divisors (14135483169968).

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

10245431226640 is a wasteful number, since it uses less digits than its factorization.

10245431226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772136 (or 772130 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 10245431226640 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-one million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3877 7754 15508 19385 31016 38770 62032 77540 155080 166711 310160 333422 666844 768203 833555 1333688 1536406 1667110 2667376 3072812 3334220 3841015 6145624 6668440 7682030 12291248 13336880 15364060 30728120 33032729 61456240 66065458 132130916 165163645 264261832 330327290 528523664 660654580 1321309160 2642618320 2978323031 5956646062 11913292124 14891615155 23826584248 29783230310 47653168496 59566460620 119132921240 128067890333 238265842480 256135780666 512271561332 640339451665 1024543122664 1280678903330 2049086245328 2561357806660 5122715613320 10245431226640