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10066703344040 = 2357318711280989
BaseRepresentation
bin1001001001111101011001…
…0001101110000110101000
31022122100220212100012220002
42102133112101232012220
52304413102024002130
633224325113122132
72056203202410140
oct222372621560650
938570825305802
1010066703344040
1132312a0665732
121166bb26b9348
135803945c1975
1426b333d99920
15126cd0e11b45
hex927d646e1a8

10066703344040 has 64 divisors (see below), whose sum is σ = 25893933206400. Its totient is φ = 3450357865728.

The previous prime is 10066703344003. The next prime is 10066703344123. The reversal of 10066703344040 is 4044330766001.

It is a happy number.

It is a super-2 number, since 2×100667033440402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10066703343985 and 10066703344003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4748135 + ... + 6532854.

It is an arithmetic number, because the mean of its divisors is an integer number (404592706350).

Almost surely, 210066703344040 is an apocalyptic number.

10066703344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066703344040 is an abundant number, since it is smaller than the sum of its proper divisors (15827229862360).

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

10066703344040 is a wasteful number, since it uses less digits than its factorization.

10066703344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284194 (or 11284190 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 10066703344040 in words is "ten trillion, sixty-six billion, seven hundred three million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3187 6374 12748 15935 22309 25496 31870 44618 63740 89236 111545 127480 178472 223090 446180 892360 11280989 22561978 45123956 56404945 78966923 90247912 112809890 157933846 225619780 315867692 394834615 451239560 631735384 789669230 1579338460 3158676920 35952511943 71905023886 143810047772 179762559715 251667583601 287620095544 359525119430 503335167202 719050238860 1006670334404 1258337918005 1438100477720 2013340668808 2516675836010 5033351672020 10066703344040