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4291831049490 = 23251719375379953
BaseRepresentation
bin111110011101000101000…
…100001010110100010010
3120012021222002022001020200
4332131011010022310102
51030304132222040430
613043350122120030
7622034401000305
oct76350504126422
916167862261220
104291831049490
1114051788154a6
12593951650016
132519443ab7ca
1410ba23598b3c
15769913e9460
hex3e74510ad12

4291831049490 has 768 divisors, whose sum is σ = 13192711833600. Its totient is φ = 960817987584.

The previous prime is 4291831049483. The next prime is 4291831049537. The reversal of 4291831049490 is 949401381924.

4291831049490 is a `hidden beast` number, since 4 + 29 + 1 + 83 + 10 + 49 + 490 = 666.

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 383 ways as a sum of consecutive naturals, for example, 4503494854 + ... + 4503495806.

It is an arithmetic number, because the mean of its divisors is an integer number (17178010200).

Almost surely, 24291831049490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4291831049490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596355916800).

4291831049490 is an abundant number, since it is smaller than the sum of its proper divisors (8900880784110).

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

4291831049490 is a wasteful number, since it uses less digits than its factorization.

4291831049490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4291831049490 in words is "four trillion, two hundred ninety-one billion, eight hundred thirty-one million, forty-nine thousand, four hundred ninety".