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4261478399 = 29976732251
BaseRepresentation
bin1111111000000000…
…1111111111111111
3101222222201112101022
43332000033333333
532211414302044
61542510134355
7210413653163
oct37600177777
911888645338
104261478399
111897547882
129ab1b13bb
1352bb52869
142c5d7aca3
1519e1c53ee
hexfe00ffff

4261478399 has 16 divisors (see below), whose sum is σ = 4462473120. Its totient is φ = 4064256000.

The previous prime is 4261478381. The next prime is 4261478413. The reversal of 4261478399 is 9938741624.

It is a Cunningham number, because it is equal to 652802-1.

It is a cyclic number.

It is not a de Polignac number, because 4261478399 - 216 = 4261412863 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4261478399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261478329) 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 15 ways as a sum of consecutive naturals, for example, 1892024 + ... + 1894274.

It is an arithmetic number, because the mean of its divisors is an integer number (278904570).

Almost surely, 24261478399 is an apocalyptic number.

4261478399 is a deficient number, since it is larger than the sum of its proper divisors (200994721).

4261478399 is a wasteful number, since it uses less digits than its factorization.

4261478399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050.

The product of its digits is 2612736, while the sum is 53.

The square root of 4261478399 is about 65279.9999923407. Note that the first 5 decimals coincide. The cubic root of 4261478399 is about 1621.2628469166.

The spelling of 4261478399 in words is "four billion, two hundred sixty-one million, four hundred seventy-eight thousand, three hundred ninety-nine".

Divisors: 1 29 97 673 2251 2813 19517 65279 65281 218347 1514923 1893149 6332063 43932767 146947531 4261478399