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99672387840 = 2833523373389
BaseRepresentation
bin101110011010011101…
…1111111000100000000
3100112021100011220212000
41130310323333010000
53113112112402330
6113442221104000
710125655214004
oct1346473770400
9315240156760
1099672387840
11392a8512253
12173980b8000
1395259947ac
144b77740704
1528d55c4560
hex1734eff100

99672387840 has 576 divisors, whose sum is σ = 379163635200. Its totient is φ = 24729255936.

The previous prime is 99672387821. The next prime is 99672387883. The reversal of 99672387840 is 4878327699.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29408866 + ... + 29412254.

It is an arithmetic number, because the mean of its divisors is an integer number (658270200).

Almost surely, 299672387840 is an apocalyptic number.

99672387840 is a gapful number since it is divisible by the number (90) 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 99672387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189581817600).

99672387840 is an abundant number, since it is smaller than the sum of its proper divisors (279491247360).

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

99672387840 is a wasteful number, since it uses less digits than its factorization.

99672387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 99672387840 in words is "ninety-nine billion, six hundred seventy-two million, three hundred eighty-seven thousand, eight hundred forty".