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38443250146620 = 223511971274728253
BaseRepresentation
bin10001011110110110001000…
…10001001101110100111100
312001010010202012102121211110
420233123010101031310330
520014323234014142440
6213432330232122020
711045301401445414
oct1057330421156474
9161103665377743
1038443250146620
1111281766548a10
12438a686836310
13185b24bb9c877
1496c93dcb9644
15469ee5626080
hex22f6c444dd3c

38443250146620 has 192 divisors, whose sum is σ = 119571415842816. Its totient is φ = 9150869790720.

The previous prime is 38443250146619. The next prime is 38443250146621. The reversal of 38443250146620 is 2664105234483.

It is a happy number.

38443250146620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38443250146619) and next prime (38443250146621).

It is a self number, because there is not a number n which added to its sum of digits gives 38443250146620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38443250146621) 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 63 ways as a sum of consecutive naturals, for example, 5766414 + ... + 10494666.

It is an arithmetic number, because the mean of its divisors is an integer number (622767790848).

Almost surely, 238443250146620 is an apocalyptic number.

38443250146620 is a gapful number since it is divisible by the number (30) 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 38443250146620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59785707921408).

38443250146620 is an abundant number, since it is smaller than the sum of its proper divisors (81128165696196).

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

38443250146620 is a wasteful number, since it uses less digits than its factorization.

38443250146620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728500 (or 4728498 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 38443250146620 in words is "thirty-eight trillion, four hundred forty-three billion, two hundred fifty million, one hundred forty-six thousand, six hundred twenty".