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14320621504 = 26755757389
BaseRepresentation
bin11010101011001001…
…10101011111000000
31100222000202221121001
431111210311133000
5213312034342004
610325004341344
71014610163050
oct152544653700
940860687531
1014320621504
116089687992
122937b44854
131472b79c47
1499bcd7560
1558c3671a4
hex3559357c0

14320621504 has 56 divisors (see below), whose sum is σ = 32535997920. Its totient is φ = 6126283776.

The previous prime is 14320621477. The next prime is 14320621529. The reversal of 14320621504 is 40512602341.

14320621504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 220842 + ... + 278230.

Almost surely, 214320621504 is an apocalyptic number.

14320621504 is a gapful number since it is divisible by the number (14) 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 14320621504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267998960).

14320621504 is an abundant number, since it is smaller than the sum of its proper divisors (18215376416).

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

14320621504 is an equidigital number, since it uses as much as digits as its factorization.

14320621504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57965 (or 57955 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 14320621504 in words is "fourteen billion, three hundred twenty million, six hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 557 1114 2228 3899 4456 7798 8912 15596 17824 31192 35648 57389 62384 114778 124768 229556 249536 401723 459112 803446 918224 1606892 1836448 3213784 3672896 6427568 12855136 25710272 31965673 63931346 127862692 223759711 255725384 447519422 511450768 895038844 1022901536 1790077688 2045803072 3580155376 7160310752 14320621504