Search a number
-
+
61353797220 = 22335295037789
BaseRepresentation
bin111001001000111110…
…001010011001100100
312212100211222211102000
4321020332022121210
52001123033002340
644104024445300
74301255446242
oct711076123144
9185324884360
1061353797220
1124024689a41
12ba83319830
135a2a07ca31
142d805b9792
1518e151cd30
hexe48f8a664

61353797220 has 192 divisors, whose sum is σ = 197878464000. Its totient is φ = 15763410432.

The previous prime is 61353797209. The next prime is 61353797221. The reversal of 61353797220 is 2279735316.

61353797220 is a `hidden beast` number, since 6 + 1 + 3 + 537 + 97 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61353797221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7873086 + ... + 7880874.

It is an arithmetic number, because the mean of its divisors is an integer number (1030617000).

Almost surely, 261353797220 is an apocalyptic number.

61353797220 is a gapful number since it is divisible by the number (60) 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 61353797220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939232000).

61353797220 is an abundant number, since it is smaller than the sum of its proper divisors (136524666780).

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

61353797220 is a wasteful number, since it uses less digits than its factorization.

61353797220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8339 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 61353797220 in words is "sixty-one billion, three hundred fifty-three million, seven hundred ninety-seven thousand, two hundred twenty".