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97505565696 = 210357211727
BaseRepresentation
bin101101011001111001…
…0001101110000000000
3100022200022220221200000
41122303302031300000
53044142411100241
6112443214400000
710021164430200
oct1326362156000
9308608827600
1097505565696
1138396393750
1216a92500000
13926baab706
144a0da5c400
15280a25ceb6
hex16b3c8dc00

97505565696 has 792 divisors, whose sum is σ = 371028018816. Its totient is φ = 25291284480.

The previous prime is 97505565611. The next prime is 97505565697. The reversal of 97505565696 is 69656550579.

97505565696 is a `hidden beast` number, since 9 + 7 + 5 + 0 + 5 + 565 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97505565697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120085 + ... + 134120811.

Almost surely, 297505565696 is an apocalyptic number.

97505565696 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 97505565696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185514009408).

97505565696 is an abundant number, since it is smaller than the sum of its proper divisors (273522453120).

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

97505565696 is a wasteful number, since it uses less digits than its factorization.

97505565696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 76545000, while the sum is 63.

The spelling of 97505565696 in words is "ninety-seven billion, five hundred five million, five hundred sixty-five thousand, six hundred ninety-six".