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5142632128 = 264313672
BaseRepresentation
bin1001100101000011…
…00101011011000000
3111021101202210001121
410302201211123000
541013003212003
62210144242024
7241303436404
oct46241453300
914241683047
105142632128
1121a99776a7
12bb6310314
1363c57acba
1436adcd104
1520172ccbd
hex1328656c0

5142632128 has 42 divisors (see below), whose sum is σ = 10449878516. Its totient is φ = 2509680768.

The previous prime is 5142632113. The next prime is 5142632153. The reversal of 5142632128 is 8212362415.

It is a junction number, because it is equal to n+sod(n) for n = 5142632093 and 5142632102.

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 5 ways as a sum of consecutive naturals, for example, 3761301 + ... + 3762667.

Almost surely, 25142632128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142632128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224939258).

5142632128 is an abundant number, since it is smaller than the sum of its proper divisors (5307246388).

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

5142632128 is an frugal number, since it uses more digits than its factorization.

5142632128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 1412 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 5142632128 is about 71712.1477017667. The cubic root of 5142632128 is about 1726.0835735458.

The spelling of 5142632128 in words is "five billion, one hundred forty-two million, six hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1367 1376 2734 2752 5468 10936 21872 43744 58781 87488 117562 235124 470248 940496 1868689 1880992 3737378 3761984 7474756 14949512 29899024 59798048 80353627 119596096 160707254 321414508 642829016 1285658032 2571316064 5142632128