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61604200080 = 24345191573187
BaseRepresentation
bin111001010111111001…
…010111111010010000
312220000022011121120000
4321113321113322100
52002131133400310
644144531450000
74310416026603
oct712771277220
9186008147500
1061604200080
1124142a68355
12bb33156900
135a69c038c7
142da595c33a
1519084d14c0
hexe57e57e90

61604200080 has 400 divisors, whose sum is σ = 226727244480. Its totient is φ = 15459185664.

The previous prime is 61604200057. The next prime is 61604200093. The reversal of 61604200080 is 8000240616.

61604200080 is a `hidden beast` number, since 6 + 160 + 420 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19328247 + ... + 19331433.

Almost surely, 261604200080 is an apocalyptic number.

61604200080 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 61604200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113363622240).

61604200080 is an abundant number, since it is smaller than the sum of its proper divisors (165123044400).

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

61604200080 is a wasteful number, since it uses less digits than its factorization.

61604200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61604200080 its reverse (8000240616), we get a palindrome (69604440696).

The spelling of 61604200080 in words is "sixty-one billion, six hundred four million, two hundred thousand, eighty".