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61033200000 = 27355181281
BaseRepresentation
bin111000110101110111…
…001011100110000000
312211112111201210200220
4320311313023212000
51444443444400000
644012133143040
74260313432413
oct706567134600
9184474653626
1061033200000
112397a717563
12b9b3a8aa80
1359a881ca36
142d4dba3b7a
1518c32e11a0
hexe35dcb980

61033200000 has 384 divisors, whose sum is σ = 204480974880. Its totient is φ = 16128000000.

The previous prime is 61033199971. The next prime is 61033200001. The reversal of 61033200000 is 233016.

61033200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61033200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217199860 + ... + 217200140.

Almost surely, 261033200000 is an apocalyptic number.

61033200000 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 61033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102240487440).

61033200000 is an abundant number, since it is smaller than the sum of its proper divisors (143447774880).

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

61033200000 is an equidigital number, since it uses as much as digits as its factorization.

61033200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 61033200000 its reverse (233016), we get a palindrome (61033433016).

The spelling of 61033200000 in words is "sixty-one billion, thirty-three million, two hundred thousand".