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1934921447424 = 2113471798017
BaseRepresentation
bin11100001010000010010…
…011100011100000000000
320211222101000001211210000
4130022002103203200000
5223200204342304144
64040520213440000
7256536104635440
oct34120223434000
96758330054700
101934921447424
11686660794039
12273001340000
13110601903cb4
146991772c120
15354e99a8769
hex1c2824e3800

1934921447424 has 480 divisors, whose sum is σ = 6993709763040. Its totient is φ = 520309702656.

The previous prime is 1934921447413. The next prime is 1934921447429. The reversal of 1934921447424 is 4247441294391.

It is a happy number.

1934921447424 is a `hidden beast` number, since 1 + 9 + 3 + 492 + 144 + 7 + 4 + 2 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934921447429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19691664 + ... + 19789680.

It is an arithmetic number, because the mean of its divisors is an integer number (14570228673).

Almost surely, 21934921447424 is an apocalyptic number.

1934921447424 is a gapful number since it is divisible by the number (14) 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 1934921447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496854881520).

1934921447424 is an abundant number, since it is smaller than the sum of its proper divisors (5058788315616).

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

1934921447424 is an equidigital number, since it uses as much as digits as its factorization.

1934921447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98075 (or 98046 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 1934921447424 in words is "one trillion, nine hundred thirty-four billion, nine hundred twenty-one million, four hundred forty-seven thousand, four hundred twenty-four".