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1375150506912 = 25357132149489
BaseRepresentation
bin10100000000101101010…
…110111000001110100000
311212110111121021202100000
4110000231112320032200
5140012302012210122
62531422503500000
7201231340306230
oct24005526701640
94773447252300
101375150506912
1149021a67a346
121a261b157600
139c8a3619200
144a7b423dcc0
1525b867bc0ac
hex1402d5b83a0

1375150506912 has 432 divisors, whose sum is σ = 5018745251520. Its totient is φ = 362674630656.

The previous prime is 1375150506893. The next prime is 1375150506923. The reversal of 1375150506912 is 2196050515731.

1375150506912 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 50 + 506 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9124264 + ... + 9273752.

It is an arithmetic number, because the mean of its divisors is an integer number (11617465860).

Almost surely, 21375150506912 is an apocalyptic number.

1375150506912 is a gapful number since it is divisible by the number (12) 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 1375150506912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509372625760).

1375150506912 is an abundant number, since it is smaller than the sum of its proper divisors (3643594744608).

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

1375150506912 is a wasteful number, since it uses less digits than its factorization.

1375150506912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149547 (or 149514 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 1375150506912 in words is "one trillion, three hundred seventy-five billion, one hundred fifty million, five hundred six thousand, nine hundred twelve".