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16344696374496 = 2532753154399139
BaseRepresentation
bin1110110111011000101111…
…0100100100010011100000
32010212112111222210220122100
43231312023310210103200
54120242414232440441
654432352211410400
73304602545606640
oct355661364442340
963775458726570
1016344696374496
115231823aa8446
1219bb8658b3a00
139173b535ac99
14407132254520
151d526a4eecb6
hexedd8bd244e0

16344696374496 has 288 divisors, whose sum is σ = 54158154785280. Its totient is φ = 4578786081792.

The previous prime is 16344696374471. The next prime is 16344696374569. The reversal of 16344696374496 is 69447369644361.

16344696374496 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 4 + 6 + 9 + 63 + 74 + 496 = 666.

16344696374496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164816895 + ... + 164916033.

It is an arithmetic number, because the mean of its divisors is an integer number (188049148560).

Almost surely, 216344696374496 is an apocalyptic number.

16344696374496 is a gapful number since it is divisible by the number (16) 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 16344696374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079077392640).

16344696374496 is an abundant number, since it is smaller than the sum of its proper divisors (37813458410784).

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

16344696374496 is a wasteful number, since it uses less digits than its factorization.

16344696374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100758 (or 100747 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 16344696374496 in words is "sixteen trillion, three hundred forty-four billion, six hundred ninety-six million, three hundred seventy-four thousand, four hundred ninety-six".