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49877432640 = 2633573137719
BaseRepresentation
bin101110011100111011…
…010011100101000000
311202202001012002211000
4232130323103211000
51304122110321030
634525142252000
73414003116340
oct563473234500
9152661162730
1049877432640
111a175568412
1297bba27000
13491b557369
1425b2346d20
15146dc33860
hexb9ced3940

49877432640 has 896 divisors, whose sum is σ = 213486796800. Its totient is φ = 10719682560.

The previous prime is 49877432639. The next prime is 49877432651. The reversal of 49877432640 is 4623477894.

49877432640 is a `hidden beast` number, since 498 + 77 + 43 + 2 + 6 + 40 = 666.

49877432640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69370201 + ... + 69370919.

Almost surely, 249877432640 is an apocalyptic number.

49877432640 is a gapful number since it is divisible by the number (40) 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 49877432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106743398400).

49877432640 is an abundant number, since it is smaller than the sum of its proper divisors (163609364160).

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

49877432640 is a wasteful number, since it uses less digits than its factorization.

49877432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 49877432640 in words is "forty-nine billion, eight hundred seventy-seven million, four hundred thirty-two thousand, six hundred forty".