Search a number
-
+
57912800000 = 2855116581
BaseRepresentation
bin110101111011110111…
…110011001100000000
312112111001011001121112
4311323313303030000
51422101134100000
642334344142452
74120063451336
oct657367631400
9175431131545
1057912800000
11226192a1890
12b282a67a28
1355cc2014c3
142b355b9b56
15178e3b8235
hexd7bdf3300

57912800000 has 216 divisors, whose sum is σ = 157649378544. Its totient is φ = 21056000000.

The previous prime is 57912799993. The next prime is 57912800039. The reversal of 57912800000 is 821975.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 57912800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8796710 + ... + 8803290.

It is an arithmetic number, because the mean of its divisors is an integer number (729858234).

Almost surely, 257912800000 is an apocalyptic number.

57912800000 is a gapful number since it is divisible by the number (50) 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 57912800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78824689272).

57912800000 is an abundant number, since it is smaller than the sum of its proper divisors (99736578544).

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

57912800000 is an frugal number, since it uses more digits than its factorization.

57912800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 57912800000 in words is "fifty-seven billion, nine hundred twelve million, eight hundred thousand".