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97788044640 = 2535111317181463
BaseRepresentation
bin101101100010010011…
…1110010010101100000
3100100102000110100221010
41123010213302111200
53100232214412030
6112531225100520
710031164444026
oct1330447622540
9310360410833
1097788044640
1138520890320
1216b51027740
1392b5483510
144a39390716
152824e5a6b0
hex16c49f2560

97788044640 has 768 divisors, whose sum is σ = 386120577024. Its totient is φ = 20437401600.

The previous prime is 97788044633. The next prime is 97788044647. The reversal of 97788044640 is 4644088779.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97788044633) and next prime (97788044647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97788044647) 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 127 ways as a sum of consecutive naturals, for example, 211205049 + ... + 211205511.

It is an arithmetic number, because the mean of its divisors is an integer number (502761168).

Almost surely, 297788044640 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 97788044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193060288512).

97788044640 is an abundant number, since it is smaller than the sum of its proper divisors (288332532384).

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

97788044640 is a wasteful number, since it uses less digits than its factorization.

97788044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 97788044640 in words is "ninety-seven billion, seven hundred eighty-eight million, forty-four thousand, six hundred forty".