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6406886046 = 23111913831327
BaseRepresentation
bin1011111011110000…
…10101001010011110
3121112111200112101210
411331320111022132
5101110130323141
62535425445250
7314524430031
oct57570251236
917474615353
106406886046
11279857a350
1212a97a0826
137b147b742
1444ac87018
1527770b916
hex17de1529e

6406886046 has 64 divisors (see below), whose sum is σ = 14099152896. Its totient is φ = 1924821600.

The previous prime is 6406886041. The next prime is 6406886063.

6406886046 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6406885986 and 6406886004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406886041) 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 31 ways as a sum of consecutive naturals, for example, 4827435 + ... + 4828761.

It is an arithmetic number, because the mean of its divisors is an integer number (220299264).

Almost surely, 26406886046 is an apocalyptic number.

6406886046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6406886046 is an abundant number, since it is smaller than the sum of its proper divisors (7692266850).

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

6406886046 is a wasteful number, since it uses less digits than its factorization.

6406886046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 6406886046 is about 80043.0262171540. The cubic root of 6406886046 is about 1857.3011738177.

The spelling of 6406886046 in words is "six billion, four hundred six million, eight hundred eighty-six thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 191 382 383 573 766 1146 1149 1327 2101 2298 2654 3981 4202 4213 6303 7962 8426 12606 12639 14597 25278 29194 43791 73153 87582 146306 219459 253457 438918 506914 508241 760371 804683 1016482 1520742 1524723 1609366 2414049 2788027 3049446 4828098 5576054 5590651 8364081 11181302 16728162 16771953 33543906 97074031 194148062 291222093 582444186 1067814341 2135628682 3203443023 6406886046