Search a number
-
+
51020849376 = 2533731071609
BaseRepresentation
bin101111100001000101…
…000110000011100000
311212200201201200201000
4233201011012003200
51313442314140001
635234425512000
73454226031000
oct574105060340
9155621650630
1051020849376
111a701a37322
129a7a942600
134a713c9b03
142680148000
1514d92e3a86
hexbe11460e0

51020849376 has 384 divisors, whose sum is σ = 175271040000. Its totient is φ = 14432173056.

The previous prime is 51020849353. The next prime is 51020849431. The reversal of 51020849376 is 67394802015.

51020849376 is a `hidden beast` number, since 510 + 20 + 8 + 49 + 3 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31708860 + ... + 31710468.

It is an arithmetic number, because the mean of its divisors is an integer number (456435000).

It is a 1-persistent number, because it is pandigital, but 2⋅51020849376 = 102041698752 is not.

Almost surely, 251020849376 is an apocalyptic number.

51020849376 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 51020849376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520000).

51020849376 is an abundant number, since it is smaller than the sum of its proper divisors (124250190624).

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

51020849376 is a wasteful number, since it uses less digits than its factorization.

51020849376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51020849376 in words is "fifty-one billion, twenty million, eight hundred forty-nine thousand, three hundred seventy-six".