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61197205440 = 2635721319931
BaseRepresentation
bin111000111111101000…
…110011111111000000
312211221221100010212110
4320333220303333000
52000312441033230
644040312255320
74264344443400
oct707750637700
9184857303773
1061197205440
1123a54255248
12ba3a9a1540
135a037b3687
142d67896800
1518d28da4b0
hexe3fa33fc0

61197205440 has 336 divisors, whose sum is σ = 227772065664. Its totient is φ = 13879756800.

The previous prime is 61197205379. The next prime is 61197205453. The reversal of 61197205440 is 4450279116.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6157275 + ... + 6167205.

Almost surely, 261197205440 is an apocalyptic number.

61197205440 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 61197205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113886032832).

61197205440 is an abundant number, since it is smaller than the sum of its proper divisors (166574860224).

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

61197205440 is a wasteful number, since it uses less digits than its factorization.

61197205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 61197205440 in words is "sixty-one billion, one hundred ninety-seven million, two hundred five thousand, four hundred forty".