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6454139964384 = 253729985733599
BaseRepresentation
bin101110111101011100010…
…1110000100101111100000
3211212000021010000002000010
41131322320232010233200
51321221034312330014
621420554014324520
71234203414343020
oct135727056045740
924760233002003
106454139964384
112069204829372
12882a324b9740
1337a813356608
1418454c46ba80
15b2d488e7359
hex5deb8b84be0

6454139964384 has 192 divisors, whose sum is σ = 20032717824000. Its totient is φ = 1780218789888.

The previous prime is 6454139964383. The next prime is 6454139964397. The reversal of 6454139964384 is 4834699314546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6454139964383) 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 31 ways as a sum of consecutive naturals, for example, 192076417 + ... + 192110015.

It is an arithmetic number, because the mean of its divisors is an integer number (104337072000).

Almost surely, 26454139964384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6454139964384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016358912000).

6454139964384 is an abundant number, since it is smaller than the sum of its proper divisors (13578577859616).

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

6454139964384 is a wasteful number, since it uses less digits than its factorization.

6454139964384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43505 (or 43497 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 66.

The spelling of 6454139964384 in words is "six trillion, four hundred fifty-four billion, one hundred thirty-nine million, nine hundred sixty-four thousand, three hundred eighty-four".