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6997814159616 = 283371381104729
BaseRepresentation
bin110010111010100111000…
…1110100010100100000000
3220202222120200220210002000
41211311032032202210000
51404123010411101431
622514430151224000
71321401233633550
oct145651616424400
926688520823060
106997814159616
11225883572a095
12950281978000
133b9b77813c57
141a29a5c03160
15c206887c9e6
hex65d4e3a2900

6997814159616 has 288 divisors, whose sum is σ = 23667371347200. Its totient is φ = 1997908623360.

The previous prime is 6997814159563. The next prime is 6997814159659. The reversal of 6997814159616 is 6169514187996.

6997814159616 is a `hidden beast` number, since 6 + 9 + 9 + 7 + 8 + 14 + 1 + 596 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66765940 + ... + 66870668.

Almost surely, 26997814159616 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 6997814159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833685673600).

6997814159616 is an abundant number, since it is smaller than the sum of its proper divisors (16669557187584).

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

6997814159616 is a wasteful number, since it uses less digits than its factorization.

6997814159616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106142 (or 106122 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 6997814159616 in words is "six trillion, nine hundred ninety-seven billion, eight hundred fourteen million, one hundred fifty-nine thousand, six hundred sixteen".