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3244378885920 = 25355831005373
BaseRepresentation
bin101111001101100100000…
…011010000111100100000
3102111011022100020221200000
4233031210003100330200
5411123441443322140
610522240323100000
7453253506341124
oct57154403207440
912434270227600
103244378885920
111040a2a3337a7
12444947b11600
131a6c36181093
14b3058d65584
15595d8d17a30
hex2f3640d0f20

3244378885920 has 288 divisors, whose sum is σ = 11619839230272. Its totient is φ = 854743145472.

The previous prime is 3244378885907. The next prime is 3244378886053. The reversal of 3244378885920 is 295888734423.

3244378885920 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 37 + 8 + 8 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 2724354 + ... + 3729726.

It is an arithmetic number, because the mean of its divisors is an integer number (40346663994).

Almost surely, 23244378885920 is an apocalyptic number.

3244378885920 is a gapful number since it is divisible by the number (30) 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 3244378885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809919615136).

3244378885920 is an abundant number, since it is smaller than the sum of its proper divisors (8375460344352).

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

3244378885920 is a wasteful number, since it uses less digits than its factorization.

3244378885920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005486 (or 1005466 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 3244378885920 in words is "three trillion, two hundred forty-four billion, three hundred seventy-eight million, eight hundred eighty-five thousand, nine hundred twenty".