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990043202402304 = 21134159271409601
BaseRepresentation
bin1110000100011100000110010…
…1011001000011100000000000
311210211110012120000212110121220
43201013001211121003200000
52014231331434303333204
613425351322431515040
7415352155332102651
oct34107014531034000
94724405500773556
10990043202402304
11267504a67423936
1293059009388a80
133365789a58180b
141366a4bd3a7528
15796d4680b51d9
hex3847065643800

990043202402304 has 768 divisors, whose sum is σ = 2771173327104000. Its totient is φ = 314045890560000.

The previous prime is 990043202402299. The next prime is 990043202402377. The reversal of 990043202402304 is 403204202340099.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1647326459604 + ... + 1647326460204.

It is an arithmetic number, because the mean of its divisors is an integer number (3608298603000).

Almost surely, 2990043202402304 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 990043202402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385586663552000).

990043202402304 is an abundant number, since it is smaller than the sum of its proper divisors (1781130124701696).

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

990043202402304 is a wasteful number, since it uses less digits than its factorization.

990043202402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 990043202402304 in words is "nine hundred ninety trillion, forty-three billion, two hundred two million, four hundred two thousand, three hundred four".