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99519017472 = 293375917431
BaseRepresentation
bin101110010101111001…
…0111011001000000000
3100111212122120220021000
41130223302323020000
53112303332024342
6113415101532000
710122113456040
oct1345362731000
9314778526230
1099519017472
1139229988886
1217354874000
1394ccc857b4
144b61219720
1528c6dcb44c
hex172bcbb200

99519017472 has 320 divisors, whose sum is σ = 342392371200. Its totient is φ = 27950469120.

The previous prime is 99519017461. The next prime is 99519017473. The reversal of 99519017472 is 27471091599.

99519017472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99519017473) 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 31 ways as a sum of consecutive naturals, for example, 5700597 + ... + 5718027.

It is an arithmetic number, because the mean of its divisors is an integer number (1069976160).

Almost surely, 299519017472 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 99519017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171196185600).

99519017472 is an abundant number, since it is smaller than the sum of its proper divisors (242873353728).

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

99519017472 is a wasteful number, since it uses less digits than its factorization.

99519017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17502 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 99519017472 in words is "ninety-nine billion, five hundred nineteen million, seventeen thousand, four hundred seventy-two".