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1450773872640 = 215325611272
BaseRepresentation
bin10101000111001000110…
…111001000000000000000
312010200200220222202210100
4111013020313020000000
5142232141102411030
63030250515002400
7206546346310161
oct25071067100000
95120626882710
101450773872640
1150a2a7036304
121b5205299400
13a6a65aac3b1
1450309a23768
1527b1091a360
hex151c8dc8000

1450773872640 has 576 divisors, whose sum is σ = 5152286465820. Its totient is φ = 377534545920.

The previous prime is 1450773872629. The next prime is 1450773872657. The reversal of 1450773872640 is 462783770541.

1450773872640 is a `hidden beast` number, since 1 + 4 + 507 + 7 + 3 + 8 + 72 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1258130128896 + 192643743744 = 1121664^2 + 438912^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11423416257 + ... + 11423416383.

Almost surely, 21450773872640 is an apocalyptic number.

1450773872640 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 1450773872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576143232910).

1450773872640 is an abundant number, since it is smaller than the sum of its proper divisors (3701512593180).

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

1450773872640 is an frugal number, since it uses more digits than its factorization.

1450773872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 1450773872640 in words is "one trillion, four hundred fifty billion, seven hundred seventy-three million, eight hundred seventy-two thousand, six hundred forty".