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4423315986432 = 211337108710513
BaseRepresentation
bin100000001011110001000…
…1011011001100000000000
3120122212100111101220102000
41000113202023121200000
51034432422343031212
613224013204424000
7634400615345010
oct100274213314000
916585314356360
104423315986432
111455a10616742
125b53276a8000
13261169b00345
14114137d65c40
157a0d97ce1dc
hex405e22d9800

4423315986432 has 384 divisors, whose sum is σ = 14989969612800. Its totient is φ = 1262521810944.

The previous prime is 4423315986413. The next prime is 4423315986437. The reversal of 4423315986432 is 2346895133244.

4423315986432 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 3 + 1 + 598 + 6 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4423315986437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420742008 + ... + 420752520.

It is an arithmetic number, because the mean of its divisors is an integer number (39036379200).

Almost surely, 24423315986432 is an apocalyptic number.

4423315986432 is a gapful number since it is divisible by the number (42) 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 4423315986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494984806400).

4423315986432 is an abundant number, since it is smaller than the sum of its proper divisors (10566653626368).

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

4423315986432 is a wasteful number, since it uses less digits than its factorization.

4423315986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11638 (or 11612 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 4423315986432 in words is "four trillion, four hundred twenty-three billion, three hundred fifteen million, nine hundred eighty-six thousand, four hundred thirty-two".