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71989000668 = 2233131931263331
BaseRepresentation
bin100001100001011100…
…0001111100111011100
320212211001000010212000
41003002320033213130
52134413141010133
653023222042300
75125645260264
oct1030270174734
9225731003760
1071989000668
1128591a06782
1211b50b79390
136a33540320
1436acc4a7a4
151d1504e413
hex10c2e0f9dc

71989000668 has 384 divisors, whose sum is σ = 219891302400. Its totient is φ = 20169388800.

The previous prime is 71989000639. The next prime is 71989000697. The reversal of 71989000668 is 86600098917.

It is an interprime number because it is at equal distance from previous prime (71989000639) and next prime (71989000697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217489263 + ... + 217489593.

It is an arithmetic number, because the mean of its divisors is an integer number (572633600).

Almost surely, 271989000668 is an apocalyptic number.

71989000668 is a gapful number since it is divisible by the number (78) 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 71989000668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109945651200).

71989000668 is an abundant number, since it is smaller than the sum of its proper divisors (147902301732).

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

71989000668 is a wasteful number, since it uses less digits than its factorization.

71989000668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 71989000668 in words is "seventy-one billion, nine hundred eighty-nine million, six hundred sixty-eight", and thus it is an aban number.