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61706263680 = 2732583337383
BaseRepresentation
bin111001011101111110…
…101101110010000000
312220021102012222111100
4321131332231302000
52002333300414210
644203015214400
74313065405245
oct713576556200
9186242188440
1061706263680
1124195639236
12bb61377400
135a850ba779
142db53295cc
1519124425c0
hexe5dfadc80

61706263680 has 384 divisors, whose sum is σ = 216851281920. Its totient is φ = 16166191104.

The previous prime is 61706263651. The next prime is 61706263687. The reversal of 61706263680 is 8636260716.

61706263680 is a `hidden beast` number, since 6 + 1 + 7 + 0 + 6 + 2 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (61706263687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161112769 + ... + 161113151.

It is an arithmetic number, because the mean of its divisors is an integer number (564716880).

Almost surely, 261706263680 is an apocalyptic number.

61706263680 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 61706263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108425640960).

61706263680 is an abundant number, since it is smaller than the sum of its proper divisors (155145018240).

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

61706263680 is a wasteful number, since it uses less digits than its factorization.

61706263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 61706263680 in words is "sixty-one billion, seven hundred six million, two hundred sixty-three thousand, six hundred eighty".