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71916466608 = 24327223219267
BaseRepresentation
bin100001011111010001…
…1100011000110110000
320212121222112000211100
41002332203203012300
52134241103412413
653012111244400
75124104610600
oct1027643430660
9225558460740
1071916466608
1128554a74878
1211b30819700
136a214c526c
1436a3368c00
151d0d9c2a73
hex10be8e31b0

71916466608 has 270 divisors, whose sum is σ = 244760691084. Its totient is φ = 19653169536.

The previous prime is 71916466607. The next prime is 71916466627. The reversal of 71916466608 is 80666461917.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71916466603) 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 53 ways as a sum of consecutive naturals, for example, 3722991 + ... + 3742257.

Almost surely, 271916466608 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 71916466608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122380345542).

71916466608 is an abundant number, since it is smaller than the sum of its proper divisors (172844224476).

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

71916466608 is a wasteful number, since it uses less digits than its factorization.

71916466608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341 (or 19302 counting only the distinct ones).

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

The spelling of 71916466608 in words is "seventy-one billion, nine hundred sixteen million, four hundred sixty-six thousand, six hundred eight".