Search a number
-
+
57863051136 = 273711192343
BaseRepresentation
bin110101111000111010…
…000001011110000000
312112100120112120000000
4311320322001132000
51422000420114021
642325410000000
74115620551042
oct657072013600
9175316476000
1057863051136
11225a3202820
12b26a276000
1355c1b034c7
142b2cb49a92
151789d3cb26
hexd78e81780

57863051136 has 1024 divisors, whose sum is σ = 211977216000. Its totient is φ = 15519651840.

The previous prime is 57863051123. The next prime is 57863051167. The reversal of 57863051136 is 63115036875.

57863051136 is a `hidden beast` number, since 5 + 7 + 8 + 630 + 5 + 1 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57863051091 and 57863051100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1345652331 + ... + 1345652373.

It is an arithmetic number, because the mean of its divisors is an integer number (207009000).

Almost surely, 257863051136 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 57863051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105988608000).

57863051136 is an abundant number, since it is smaller than the sum of its proper divisors (154114164864).

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

57863051136 is a wasteful number, since it uses less digits than its factorization.

57863051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 57863051136 in words is "fifty-seven billion, eight hundred sixty-three million, fifty-one thousand, one hundred thirty-six".