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14825057664 = 27347980599
BaseRepresentation
bin11011100111010010…
…00110110110000000
31102021011221221220210
431303221012312000
5220330203321124
610451024234120
71033243624314
oct156351066600
942234857823
1014825057664
1163183a427a
122a58a6b940
131523526291
14a08cc5b44
155bb7a9a29
hex373a46d80

14825057664 has 64 divisors (see below), whose sum is σ = 39461760000. Its totient is φ = 4931308032.

The previous prime is 14825057641. The next prime is 14825057671. The reversal of 14825057664 is 46675052841.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143637 + ... + 224235.

It is an arithmetic number, because the mean of its divisors is an integer number (616590000).

Almost surely, 214825057664 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 14825057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880000).

14825057664 is an abundant number, since it is smaller than the sum of its proper divisors (24636702336).

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

14825057664 is an equidigital number, since it uses as much as digits as its factorization.

14825057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81095 (or 81083 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 14825057664 in words is "fourteen billion, eight hundred twenty-five million, fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 479 958 1437 1916 2874 3832 5748 7664 11496 15328 22992 30656 45984 61312 80599 91968 161198 183936 241797 322396 483594 644792 967188 1289584 1934376 2579168 3868752 5158336 7737504 10316672 15475008 30950016 38606921 77213842 115820763 154427684 231641526 308855368 463283052 617710736 926566104 1235421472 1853132208 2470842944 3706264416 4941685888 7412528832 14825057664