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1379284664940 = 223657131496977
BaseRepresentation
bin10100000100100011110…
…001011100001001101100
311212212011201102202000000
4110010203301130021230
5140044233333234230
62533345025104300
7201435650132130
oct24044361341154
94785151382000
101379284664940
11491a51265476
121a3393788090
13a00b1c80b70
144aa873173c0
1525d296e2b60
hex14123c5c26c

1379284664940 has 672 divisors, whose sum is σ = 5381578742400. Its totient is φ = 289019363328.

The previous prime is 1379284664921. The next prime is 1379284664957. The reversal of 1379284664940 is 494664829731.

It is a happy number.

1379284664940 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 2 + 84 + 66 + 494 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 223 ways as a sum of consecutive naturals, for example, 197686732 + ... + 197693708.

It is an arithmetic number, because the mean of its divisors is an integer number (8008301700).

Almost surely, 21379284664940 is an apocalyptic number.

1379284664940 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 1379284664940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690789371200).

1379284664940 is an abundant number, since it is smaller than the sum of its proper divisors (4002294077460).

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

1379284664940 is a wasteful number, since it uses less digits than its factorization.

1379284664940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 1379284664940 in words is "one trillion, three hundred seventy-nine billion, two hundred eighty-four million, six hundred sixty-four thousand, nine hundred forty".