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2385978000000 = 27356756809
BaseRepresentation
bin100010101110000111010…
…111110000001010000000
322110002121220112211001120
4202232013113300022000
5303042440332000000
65024034141032240
7334244521241430
oct42560727601200
98402556484046
102385978000000
1183a984419031
12326503255680
13143cc5b5cc9a
14836a66902c0
15420e88996a0
hex22b875f0280

2385978000000 has 448 divisors, whose sum is σ = 9053977857600. Its totient is φ = 545356800000.

The previous prime is 2385977999959. The next prime is 2385978000013. The reversal of 2385978000000 is 8795832.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 55 ways as a sum of consecutive naturals, for example, 41971596 + ... + 42028404.

Almost surely, 22385978000000 is an apocalyptic number.

2385978000000 is a gapful number since it is divisible by the number (20) 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 2385978000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526988928800).

2385978000000 is an abundant number, since it is smaller than the sum of its proper divisors (6667999857600).

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

2385978000000 is an frugal number, since it uses more digits than its factorization.

2385978000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56863 (or 56826 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2385978000000 in words is "two trillion, three hundred eighty-five billion, nine hundred seventy-eight million", and thus it is an aban number.