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5482837124400 = 2435223852723297
BaseRepresentation
bin100111111001001001010…
…0011110010010100110000
3201102011011100100102102110
41033302102203302110300
51204312322300440100
615354440335445320
71104056546413356
oct117622243622460
921364140312373
105482837124400
11182429268a549
1274673b086840
1330a04c56233c
1414d52940d7d6
159794b708250
hex4fc928f2530

5482837124400 has 240 divisors, whose sum is σ = 18329915096064. Its totient is φ = 1398296739840.

The previous prime is 5482837124353. The next prime is 5482837124407. The reversal of 5482837124400 is 44217382845.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54828371244002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5482837124400.

It is not an unprimeable number, because it can be changed into a prime (5482837124407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235333552 + ... + 235356848.

Almost surely, 25482837124400 is an apocalyptic number.

5482837124400 is a gapful number since it is divisible by the number (50) 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 5482837124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164957548032).

5482837124400 is an abundant number, since it is smaller than the sum of its proper divisors (12847077971664).

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

5482837124400 is a wasteful number, since it uses less digits than its factorization.

5482837124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31868 (or 31857 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 5482837124400 in words is "five trillion, four hundred eighty-two billion, eight hundred thirty-seven million, one hundred twenty-four thousand, four hundred".