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10474344400480 = 255181361683163
BaseRepresentation
bin1001100001101011111110…
…0100111100011001100000
31101002100010001220110210021
42120122333210330121200
52333102424131303410
634135503011443224
72130514006254502
oct230327744743140
941070101813707
1010474344400480
113379165391904
121211bb88b6514
135ac959ca817c
14282d64cabd72
151326dd551eda
hex986bf93c660

10474344400480 has 48 divisors (see below), whose sum is σ = 24882354950544. Its totient is φ = 4166590026240.

The previous prime is 10474344400439. The next prime is 10474344400483. The reversal of 10474344400480 is 8400444347401.

It is a happy number.

10474344400480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10474344400483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180812622 + ... + 180870541.

It is an arithmetic number, because the mean of its divisors is an integer number (518382394803).

Almost surely, 210474344400480 is an apocalyptic number.

10474344400480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10474344400480 is an abundant number, since it is smaller than the sum of its proper divisors (14408010550064).

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

10474344400480 is a wasteful number, since it uses less digits than its factorization.

10474344400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361683359 (or 361683351 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 43.

Adding to 10474344400480 its reverse (8400444347401), we get a palindrome (18874788747881).

The spelling of 10474344400480 in words is "ten trillion, four hundred seventy-four billion, three hundred forty-four million, four hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 14480 28960 361683163 723366326 1446732652 1808415815 2893465304 3616831630 5786930608 7233663260 11573861216 14467326520 28934653040 57869306080 65464652503 130929305006 261858610012 327323262515 523717220024 654646525030 1047434440048 1309293050060 2094868880096 2618586100120 5237172200240 10474344400480