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97497533952 = 2933713174797
BaseRepresentation
bin101101011001101001…
…1100100111000000000
3100022122202210220012000
41122303103210320000
53044133332041302
6112442330304000
710021036236060
oct1326323447000
9308582726160
1097497533952
11383918a8345
1216a8b888000
13926a2289c0
144a0c96b3a0
1528096c331c
hex16b34e4e00

97497533952 has 1280 divisors, whose sum is σ = 388055162880. Its totient is φ = 23441965056.

The previous prime is 97497533951. The next prime is 97497533993. The reversal of 97497533952 is 25933579479.

97497533952 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 7 + 533 + 95 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97497533952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97497533951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005129168 + ... + 1005129264.

It is an arithmetic number, because the mean of its divisors is an integer number (303168096).

Almost surely, 297497533952 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 97497533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194027581440).

97497533952 is an abundant number, since it is smaller than the sum of its proper divisors (290557628928).

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

97497533952 is a wasteful number, since it uses less digits than its factorization.

97497533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 63.

The spelling of 97497533952 in words is "ninety-seven billion, four hundred ninety-seven million, five hundred thirty-three thousand, nine hundred fifty-two".