Search a number
-
+
49570160640 = 2133571113231
BaseRepresentation
bin101110001010100111…
…001010000000000000
311201221122000001212120
4232022213022000000
51303004430120030
634434444324240
73403252261530
oct561247120000
9151848001776
1049570160640
111a028077410
129734b43680
13489c9b1600
1425835dd4c0
151451c8a010
hexb8a9ca000

49570160640 has 1344 divisors, whose sum is σ = 221043105792. Its totient is φ = 9201254400.

The previous prime is 49570160611. The next prime is 49570160677. The reversal of 49570160640 is 4606107594.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 49570160592 and 49570160601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599037425 + ... + 1599037455.

Almost surely, 249570160640 is an apocalyptic number.

49570160640 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 49570160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110521552896).

49570160640 is an abundant number, since it is smaller than the sum of its proper divisors (171472945152).

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

49570160640 is a wasteful number, since it uses less digits than its factorization.

49570160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 49570160640 in words is "forty-nine billion, five hundred seventy million, one hundred sixty thousand, six hundred forty".