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61428568320 = 283357318191
BaseRepresentation
bin111001001101011011…
…011001000100000000
312212120001200121002000
4321031123121010000
52001301203141240
644115255224000
74303154133630
oct711533310400
9185501617060
1061428568320
1124062909639
12baa4378000
135a3c6cc0a2
142d8a4c06c0
1518e7d8c430
hexe4d6d9100

61428568320 has 576 divisors, whose sum is σ = 257194721280. Its totient is φ = 13586227200.

The previous prime is 61428568303. The next prime is 61428568321. The reversal of 61428568320 is 2386582416.

61428568320 is a `hidden beast` number, since 61 + 4 + 2 + 8 + 568 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (61428568321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7495425 + ... + 7503615.

Almost surely, 261428568320 is an apocalyptic number.

61428568320 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 61428568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128597360640).

61428568320 is an abundant number, since it is smaller than the sum of its proper divisors (195766152960).

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

61428568320 is a wasteful number, since it uses less digits than its factorization.

61428568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 61428568320 in words is "sixty-one billion, four hundred twenty-eight million, five hundred sixty-eight thousand, three hundred twenty".