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97603209216 = 21132172329467
BaseRepresentation
bin101101011100110011…
…0101100100000000000
3100022221010122202101200
41122321212230200000
53044342410143331
6112501023301200
710023461406162
oct1327146544000
9308833582350
1097603209216
1138436515777
1216abb14a800
1392860a8746
144a1c9d8932
152813ae95e6
hex16b99ac800

97603209216 has 576 divisors, whose sum is σ = 322885180800. Its totient is φ = 28218753024.

The previous prime is 97603209181. The next prime is 97603209227. The reversal of 97603209216 is 61290230679.

It is a happy number.

97603209216 is a `hidden beast` number, since 9 + 7 + 603 + 20 + 9 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209000215 + ... + 209000681.

It is an arithmetic number, because the mean of its divisors is an integer number (560564550).

Almost surely, 297603209216 is an apocalyptic number.

97603209216 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 97603209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161442590400).

97603209216 is an abundant number, since it is smaller than the sum of its proper divisors (225281971584).

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

97603209216 is a wasteful number, since it uses less digits than its factorization.

97603209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 97603209216 in words is "ninety-seven billion, six hundred three million, two hundred nine thousand, two hundred sixteen".