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61997242608 = 243271729731709
BaseRepresentation
bin111001101111010100…
…101101100011110000
312221000200202020112200
4321233110231203300
52003432243230413
644251532023200
74323230603310
oct715724554360
9187020666480
1061997242608
1124324910a94
1210022901b00
135b0047a452
143001c31440
15192cc6d573
hexe6f52d8f0

61997242608 has 480 divisors, whose sum is σ = 220301078400. Its totient is φ = 15866855424.

The previous prime is 61997242603. The next prime is 61997242609. The reversal of 61997242608 is 80624279916.

61997242608 is a `hidden beast` number, since 6 + 1 + 9 + 9 + 7 + 24 + 2 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61997242603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36276058 + ... + 36277766.

It is an arithmetic number, because the mean of its divisors is an integer number (458960580).

Almost surely, 261997242608 is an apocalyptic number.

61997242608 is a gapful number since it is divisible by the number (68) 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 61997242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110150539200).

61997242608 is an abundant number, since it is smaller than the sum of its proper divisors (158303835792).

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

61997242608 is a wasteful number, since it uses less digits than its factorization.

61997242608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 61997242608 in words is "sixty-one billion, nine hundred ninety-seven million, two hundred forty-two thousand, six hundred eight".