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9689114163456 = 283572131719757
BaseRepresentation
bin1000110011111110110000…
…1101010011100100000000
31021022021022000200102200000
42030333230031103210000
52232221301211212311
632335041222400000
72020005165341100
oct214775415234400
937267260612600
109689114163456
1130a61483946a2
121105994890000
135538aac64720
14256d54357200
1511c081c46056
hex8cfec353900

9689114163456 has 2592 divisors, whose sum is σ = 40503903672960. Its totient is φ = 2275463135232.

The previous prime is 9689114163383. The next prime is 9689114163461. The reversal of 9689114163456 is 6543614119869.

9689114163456 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 1 + 14 + 163 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9689114163393 and 9689114163402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12799357830 + ... + 12799358586.

Almost surely, 29689114163456 is an apocalyptic number.

9689114163456 is a gapful number since it is divisible by the number (96) 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 9689114163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20251951836480).

9689114163456 is an abundant number, since it is smaller than the sum of its proper divisors (30814789509504).

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

9689114163456 is a wasteful number, since it uses less digits than its factorization.

9689114163456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 818 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 9689114163456 in words is "nine trillion, six hundred eighty-nine billion, one hundred fourteen million, one hundred sixty-three thousand, four hundred fifty-six".