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1991045302400 = 27527311374457
BaseRepresentation
bin11100111110010011100…
…011000100100010000000
321001100020101000002011102
4130332103203010202000
5230110130044134100
64122401254433532
7263563646555000
oct34762343044200
97040211002142
101991045302400
116a8441191a60
12281a650628a8
131159a72b623b
146c51d4ac000
1536bd1c9dcd5
hex1cf938c4880

1991045302400 has 768 divisors, whose sum is σ = 6427865376000. Its totient is φ = 603677491200.

The previous prime is 1991045302387. The next prime is 1991045302459. The reversal of 1991045302400 is 42035401991.

It is a super-2 number, since 2×19910453024002 (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 446720972 + ... + 446725428.

It is an arithmetic number, because the mean of its divisors is an integer number (8369616375).

Almost surely, 21991045302400 is an apocalyptic number.

1991045302400 is a gapful number since it is divisible by the number (10) 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 1991045302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213932688000).

1991045302400 is an abundant number, since it is smaller than the sum of its proper divisors (4436820073600).

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

1991045302400 is a wasteful number, since it uses less digits than its factorization.

1991045302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 1991045302400 in words is "one trillion, nine hundred ninety-one billion, forty-five million, three hundred two thousand, four hundred".