Search a number
-
+
57141569472 = 26313235571787
BaseRepresentation
bin110101001101111001…
…110010011111000000
312110111021221111012220
4311031321302133000
51414011220210342
642130034051040
74062010220001
oct651571623700
9173437844186
1057141569472
1122262a20989
12b0a8719a80
1355084b2490
142aa0dbd1a8
1517468255ec
hexd4de727c0

57141569472 has 224 divisors, whose sum is σ = 170296100352. Its totient is φ = 16777998336.

The previous prime is 57141569467. The next prime is 57141569477. The reversal of 57141569472 is 27496514175.

It is an interprime number because it is at equal distance from previous prime (57141569467) and next prime (57141569477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57141569477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31975363 + ... + 31977149.

It is an arithmetic number, because the mean of its divisors is an integer number (760250448).

Almost surely, 257141569472 is an apocalyptic number.

57141569472 is a gapful number since it is divisible by the number (52) 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 57141569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85148050176).

57141569472 is an abundant number, since it is smaller than the sum of its proper divisors (113154530880).

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

57141569472 is a wasteful number, since it uses less digits than its factorization.

57141569472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2385 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 57141569472 in words is "fifty-seven billion, one hundred forty-one million, five hundred sixty-nine thousand, four hundred seventy-two".