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9497229041664 = 213327137319391
BaseRepresentation
bin1000101000110011111011…
…1101101010000000000000
31020121221000012222021100100
42022030332331222000000
52221100311113313124
632110544454322400
72000103121614120
oct212147675520000
936557005867310
109497229041664
113031830224611
121094762959400
1353b77ac0b240
1424b94dcc4c80
151170a0e101c9
hex8a33ef6a000

9497229041664 has 672 divisors, whose sum is σ = 34230175709184. Its totient is φ = 2470324469760.

The previous prime is 9497229041659. The next prime is 9497229041669. The reversal of 9497229041664 is 4661409227949.

9497229041664 is a `hidden beast` number, since 9 + 4 + 9 + 72 + 2 + 90 + 416 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (9497229041659) and next prime (9497229041669).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (9497229041669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489765409 + ... + 489784799.

It is an arithmetic number, because the mean of its divisors is an integer number (50937761472).

Almost surely, 29497229041664 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 9497229041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115087854592).

9497229041664 is an abundant number, since it is smaller than the sum of its proper divisors (24732946667520).

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

9497229041664 is a wasteful number, since it uses less digits than its factorization.

9497229041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19516 (or 19489 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 9497229041664 in words is "nine trillion, four hundred ninety-seven billion, two hundred twenty-nine million, forty-one thousand, six hundred sixty-four".