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2564156144 = 241114569069
BaseRepresentation
bin1001100011010101…
…1110101011110000
320121200220121222002
42120311132223300
520222410444034
61102234433132
7120353652614
oct23065365360
96550817862
102564156144
1110a6443510
125b68927a8
1331b303074
141a4791344
1510019ee7e
hex98d5eaf0

2564156144 has 20 divisors (see below), whose sum is σ = 5419694040. Its totient is φ = 1165525440.

The previous prime is 2564156143. The next prime is 2564156197. The reversal of 2564156144 is 4416514652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2564156098 and 2564156107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564156143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7284359 + ... + 7284710.

It is an arithmetic number, because the mean of its divisors is an integer number (270984702).

Almost surely, 22564156144 is an apocalyptic number.

It is an amenable number.

2564156144 is an abundant number, since it is smaller than the sum of its proper divisors (2855537896).

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

2564156144 is a wasteful number, since it uses less digits than its factorization.

2564156144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569088 (or 14569082 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 2564156144 is about 50637.4974105159. The cubic root of 2564156144 is about 1368.7206598132.

The spelling of 2564156144 in words is "two billion, five hundred sixty-four million, one hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 14569069 29138138 58276276 116552552 160259759 233105104 320519518 641039036 1282078072 2564156144