Search a number
-
+
5770356480 = 283257163439
BaseRepresentation
bin1010101111111000…
…01010011100000000
3112220010221110222200
411113330022130000
543304202401410
62352330433200
7262665135510
oct52774123400
915803843880
105770356480
1124a1241259
121150592800
1370c632b25
143ca511840
1523b8c53c0
hex157f0a700

5770356480 has 432 divisors, whose sum is σ = 23009226240. Its totient is φ = 1307860992.

The previous prime is 5770356479. The next prime is 5770356481. The reversal of 5770356480 is 846530775.

5770356480 is a `hidden beast` number, since 5 + 7 + 7 + 0 + 3 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5770356479) and next prime (5770356481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770356481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13144101 + ... + 13144539.

Almost surely, 25770356480 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 5770356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504613120).

5770356480 is an abundant number, since it is smaller than the sum of its proper divisors (17238869760).

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

5770356480 is a wasteful number, since it uses less digits than its factorization.

5770356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5770356480 is about 75962.8625053058. The cubic root of 5770356480 is about 1793.6355974741.

The spelling of 5770356480 in words is "five billion, seven hundred seventy million, three hundred fifty-six thousand, four hundred eighty".