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10406776423681 = 1113611663417997
BaseRepresentation
bin1001011101110000010000…
…1101100100010100000001
31100211212201010211121120001
42113130010031210110001
52331001034231024211
634044450155320001
72122602423034501
oct227340415442401
940755633747501
1010406776423681
113352541a94870
121200aa0450001
135a647c67c301
1427d99528da01
15130a866e0ac1
hex97704364501

10406776423681 has 16 divisors (see below), whose sum is σ = 11368047495168. Its totient is φ = 9448047187200.

The previous prime is 10406776423601. The next prime is 10406776423777. The reversal of 10406776423681 is 18632467760401.

It is a cyclic number.

It is not a de Polignac number, because 10406776423681 - 219 = 10406775899393 is a prime.

It is a super-2 number, since 2×104067764236812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10406776423601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24687775 + ... + 25105771.

It is an arithmetic number, because the mean of its divisors is an integer number (710502968448).

Almost surely, 210406776423681 is an apocalyptic number.

10406776423681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10406776423681 is a deficient number, since it is larger than the sum of its proper divisors (961271071487).

10406776423681 is a wasteful number, since it uses less digits than its factorization.

10406776423681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421032.

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 10406776423681 in words is "ten trillion, four hundred six billion, seven hundred seventy-six million, four hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 11 1361 1663 14971 18293 417997 2263343 4597967 24896773 568893917 695129011 6257833087 7646419121 946070583971 10406776423681