Search a number
-
+
51591800448 = 273513911933
BaseRepresentation
bin110000000011000111…
…000110011010000000
311221011112002000100000
4300003013012122000
51321130000103243
635411223200000
73504331032246
oct600307063200
9157145060300
1051591800448
111a975254311
129bb9ba6000
134b32794596
1426d5ccc796
15151e4c45d3
hexc031c6680

51591800448 has 192 divisors, whose sum is σ = 155079943200. Its totient is φ = 17072114688.

The previous prime is 51591800417. The next prime is 51591800473. The reversal of 51591800448 is 84400819515.

It is a happy number.

51591800448 is a `hidden beast` number, since 51 + 591 + 8 + 0 + 0 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4317490 + ... + 4329422.

Almost surely, 251591800448 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 51591800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77539971600).

51591800448 is an abundant number, since it is smaller than the sum of its proper divisors (103488142752).

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

51591800448 is a wasteful number, since it uses less digits than its factorization.

51591800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12077 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51591800448 in words is "fifty-one billion, five hundred ninety-one million, eight hundred thousand, four hundred forty-eight".