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1455130656 = 2536721967
BaseRepresentation
bin101011010111011…
…1000100000100000
310202102002022000000
41112232320200200
510440003140111
6400220300000
751026256300
oct12656704040
93672068000
101455130656
11687424221
123473a1600
131a2612275
14db383600
1587b34c56
hex56bb8820

1455130656 has 504 divisors, whose sum is σ = 5337949680. Its totient is φ = 387991296.

The previous prime is 1455130639. The next prime is 1455130667. The reversal of 1455130656 is 6560315541.

1455130656 is a `hidden beast` number, since 14 + 551 + 30 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1455130656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21718335 + ... + 21718401.

It is an arithmetic number, because the mean of its divisors is an integer number (10591170).

Almost surely, 21455130656 is an apocalyptic number.

1455130656 is a gapful number since it is divisible by the number (16) 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 1455130656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668974840).

1455130656 is an abundant number, since it is smaller than the sum of its proper divisors (3882819024).

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

1455130656 is an equidigital number, since it uses as much as digits as its factorization.

1455130656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1455130656 is about 38146.1748541056. The cubic root of 1455130656 is about 1133.1845990129.

The spelling of 1455130656 in words is "one billion, four hundred fifty-five million, one hundred thirty thousand, six hundred fifty-six".