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61497187440 = 243513312272801
BaseRepresentation
bin111001010001100001…
…001001110001110000
312212201211210210210220
4321101201021301300
52001421234444230
644130150053040
74304646316443
oct712141116160
9185654723726
1061497187440
1124098617157
12bb0334a180
135a509a6210
142d9566365a
1518edde3d10
hexe51849c70

61497187440 has 320 divisors, whose sum is σ = 212938371072. Its totient is φ = 14579712000.

The previous prime is 61497187429. The next prime is 61497187487. The reversal of 61497187440 is 4478179416.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21954040 + ... + 21956840.

Almost surely, 261497187440 is an apocalyptic number.

61497187440 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 61497187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106469185536).

61497187440 is an abundant number, since it is smaller than the sum of its proper divisors (151441183632).

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

61497187440 is a wasteful number, since it uses less digits than its factorization.

61497187440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 61497187440 in words is "sixty-one billion, four hundred ninety-seven million, one hundred eighty-seven thousand, four hundred forty".