Search a number
-
+
52621747200 = 210355211769
BaseRepresentation
bin110001000000100000…
…000010010000000000
312000211022002201200000
4301000200002100000
51330232131402300
640101334400000
73542005320411
oct610040022000
9160738081600
1052621747200
1120353671580
12a246b00000
134c67c88429
1427929d3808
15157eb1dc00
hexc40802400

52621747200 has 792 divisors, whose sum is σ = 213428735520. Its totient is φ = 12740198400.

The previous prime is 52621747153. The next prime is 52621747229. The reversal of 52621747200 is 274712625.

It is a happy number.

52621747200 is a `hidden beast` number, since 5 + 2 + 621 + 7 + 4 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68428416 + ... + 68429184.

Almost surely, 252621747200 is an apocalyptic number.

52621747200 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 52621747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106714367760).

52621747200 is an abundant number, since it is smaller than the sum of its proper divisors (160806988320).

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

52621747200 is a wasteful number, since it uses less digits than its factorization.

52621747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 52621747200 in words is "fifty-two billion, six hundred twenty-one million, seven hundred forty-seven thousand, two hundred".