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6840484546624 = 2643276032
BaseRepresentation
bin110001110001010110010…
…1001101100100001000000
3220012221111010111100101121
41203202230221230201000
51344033303020442444
622314250351442024
71304131404166321
oct143425451544100
926187433440347
106840484546624
1121a8040217243
12925894526314
133a8093892cb1
1419911cc14448
15bce0b576084
hex638aca6c840

6840484546624 has 63 divisors (see below), whose sum is σ = 13898932350543. Its totient is φ = 3340262362752.

The previous prime is 6840484546583. The next prime is 6840484546661. The reversal of 6840484546624 is 4266454840486.

The square root of 6840484546624 is 2615432.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 899704807 + ... + 899712409.

Almost surely, 26840484546624 is an apocalyptic number.

6840484546624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6840484546624 is the 2615432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6840484546624

6840484546624 is an abundant number, since it is smaller than the sum of its proper divisors (7058447803919).

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

6840484546624 is an frugal number, since it uses more digits than its factorization.

6840484546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 61.

The spelling of 6840484546624 in words is "six trillion, eight hundred forty billion, four hundred eighty-four million, five hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 7603 14792 15206 29584 30412 59168 60824 118336 121648 243296 326929 486592 653858 1307716 2615432 5230864 10461728 14057947 20923456 28115894 56231788 57805609 112463576 115611218 224927152 231222436 449854304 462444872 899708608 924889744 1849779488 2485641187 3699558976 4971282374 9942564748 19885129496 39770258992 79540517984 106882571041 159081035968 213765142082 427530284164 855060568328 1710121136656 3420242273312 6840484546624