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61297352160 = 25351127741911
BaseRepresentation
bin111001000101100110…
…110101110111100000
312212012220210010100020
4321011212311313200
52001014110232120
644054250553440
74300001616342
oct710546656740
9185186703306
1061297352160
1123aa5836a30
12ba68438880
135a1b478ba5
142d76cc5292
1518db5bd640
hexe459b5de0

61297352160 has 192 divisors, whose sum is σ = 211405469184. Its totient is φ = 14805964800.

The previous prime is 61297352159. The next prime is 61297352167. The reversal of 61297352160 is 6125379216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61297352167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441605 + ... + 1483515.

It is an arithmetic number, because the mean of its divisors is an integer number (1101070152).

Almost surely, 261297352160 is an apocalyptic number.

61297352160 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 61297352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105702734592).

61297352160 is an abundant number, since it is smaller than the sum of its proper divisors (150108117024).

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

61297352160 is a wasteful number, since it uses less digits than its factorization.

61297352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42217 (or 42209 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 61297352160 in words is "sixty-one billion, two hundred ninety-seven million, three hundred fifty-two thousand, one hundred sixty".