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5144123656 = 237615472753
BaseRepresentation
bin1001100101001110…
…10001100100001000
3111021111120120001101
410302213101210020
541013343424111
62210240231144
7241322221030
oct46247214410
914244516041
105144123656
1121aa7a6271
12bb690b4b4
1363c980b69
1436b29a8c0
15201924bc1
hex1329d1908

5144123656 has 64 divisors (see below), whose sum is σ = 11228388480. Its totient is φ = 2163732480.

The previous prime is 5144123639. The next prime is 5144123689. The reversal of 5144123656 is 6563214415.

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 15 ways as a sum of consecutive naturals, for example, 1867176 + ... + 1869928.

It is an arithmetic number, because the mean of its divisors is an integer number (175443570).

Almost surely, 25144123656 is an apocalyptic number.

5144123656 is a gapful number since it is divisible by the number (56) 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 5144123656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614194240).

5144123656 is an abundant number, since it is smaller than the sum of its proper divisors (6084264824).

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

5144123656 is a wasteful number, since it uses less digits than its factorization.

5144123656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3370 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 5144123656 is about 71722.5463574740. The cubic root of 5144123656 is about 1726.2504305858.

The spelling of 5144123656 in words is "five billion, one hundred forty-four million, one hundred twenty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 547 854 1094 1708 2188 2753 3416 3829 4376 5506 7658 11012 15316 19271 22024 30632 33367 38542 66734 77084 133468 154168 167933 233569 266936 335866 467138 671732 934276 1175531 1343464 1505891 1868552 2351062 3011782 4702124 6023564 9404248 10541237 12047128 21082474 42164948 84329896 91859351 183718702 367437404 643015457 734874808 1286030914 2572061828 5144123656