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4098926495664 = 2433721131319231
BaseRepresentation
bin111011101001011011000…
…011101100011110110000
3112111212001020100101002000
4323221123003230132300
51014124100140330124
612415004300054000
7602065135230300
oct73513303543660
915455036311060
104098926495664
11134038816a000
12562496234300
132396b10a33c0
1410256399b600
1571950d446c9
hex3ba5b0ec7b0

4098926495664 has 2880 divisors, whose sum is σ = 17662029557760. Its totient is φ = 901002009600.

The previous prime is 4098926495663. The next prime is 4098926495669. The reversal of 4098926495664 is 4665946298904.

4098926495664 is a `hidden beast` number, since 40 + 9 + 8 + 92 + 6 + 495 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4098926495592 and 4098926495601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098926495663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 132223435329 + ... + 132223435359.

It is an arithmetic number, because the mean of its divisors is an integer number (6132649152).

Almost surely, 24098926495664 is an apocalyptic number.

4098926495664 is a gapful number since it is divisible by the number (44) 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 4098926495664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831014778880).

4098926495664 is an abundant number, since it is smaller than the sum of its proper divisors (13563103062096).

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

4098926495664 is a wasteful number, since it uses less digits than its factorization.

4098926495664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 4098926495664 in words is "four trillion, ninety-eight billion, nine hundred twenty-six million, four hundred ninety-five thousand, six hundred sixty-four".