Search a number
-
+
57207406880736 = 253272329389109367
BaseRepresentation
bin11010000000111101000110…
…01010100110011111100000
321111112222022112202110020200
431000132203022212133200
524444241232130140421
6321400415300105200
715023045605164660
oct1500364312463740
9244488275673220
1057207406880736
1117256585876772
1264bb218995200
1325bc834a53b28
14101abd35141a0
15693168bbe726
hex3407a32a67e0

57207406880736 has 576 divisors, whose sum is σ = 201215421388800. Its totient is φ = 15056264982528.

The previous prime is 57207406880731. The next prime is 57207406880749. The reversal of 57207406880736 is 63708860470275.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57207406880731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523022725 + ... + 523132091.

It is an arithmetic number, because the mean of its divisors is an integer number (349332328800).

Almost surely, 257207406880736 is an apocalyptic number.

57207406880736 is a gapful number since it is divisible by the number (56) 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 57207406880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100607710694400).

57207406880736 is an abundant number, since it is smaller than the sum of its proper divisors (144008014508064).

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

57207406880736 is a wasteful number, since it uses less digits than its factorization.

57207406880736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109831 (or 109820 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 57207406880736 in words is "fifty-seven trillion, two hundred seven billion, four hundred six million, eight hundred eighty thousand, seven hundred thirty-six".