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97503983808 = 26371121274721
BaseRepresentation
bin101101011001110110…
…0001011100011000000
3100022200012221120201120
41122303230023203000
53044142004440213
6112443120432240
710021145121240
oct1326354134300
9308605846646
1097503983808
1138395503200
1216a91a78680
13926b67669a
144a0d769b20
15280a049423
hex16b3b0b8c0

97503983808 has 336 divisors, whose sum is σ = 326694100992. Its totient is φ = 25120972800.

The previous prime is 97503983767. The next prime is 97503983813. The reversal of 97503983808 is 80838930579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20650888 + ... + 20655608.

It is an arithmetic number, because the mean of its divisors is an integer number (972303872).

Almost surely, 297503983808 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 97503983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163347050496).

97503983808 is an abundant number, since it is smaller than the sum of its proper divisors (229190117184).

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

97503983808 is a wasteful number, since it uses less digits than its factorization.

97503983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 97503983808 in words is "ninety-seven billion, five hundred three million, nine hundred eighty-three thousand, eight hundred eight".