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61714231488 = 263272132371103
BaseRepresentation
bin111001011110011101…
…000111000011000000
312220021222012210021100
4321132131013003000
52002342320401423
644203502054400
74313223212100
oct713635070300
9186258183240
1061714231488
112419a0905a8
12bb63b7a400
135a8694a350
142db6401200
151912eb8343
hexe5e7470c0

61714231488 has 1008 divisors, whose sum is σ = 236770200576. Its totient is φ = 15200317440.

The previous prime is 61714231483. The next prime is 61714231543. The reversal of 61714231488 is 88413241716.

61714231488 is a `hidden beast` number, since 61 + 71 + 42 + 3 + 1 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61714231483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 599167245 + ... + 599167347.

It is an arithmetic number, because the mean of its divisors is an integer number (234891072).

Almost surely, 261714231488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61714231488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385100288).

61714231488 is an abundant number, since it is smaller than the sum of its proper divisors (175055969088).

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

61714231488 is a wasteful number, since it uses less digits than its factorization.

61714231488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 61714231488 in words is "sixty-one billion, seven hundred fourteen million, two hundred thirty-one thousand, four hundred eighty-eight".