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1389052094976 = 2934713312383
BaseRepresentation
bin10100001101101001111…
…101001110101000000000
311220210101102120121010000
4110031221331032220000
5140224234314014401
62542042143040000
7202233001665420
oct24155175165000
94823342517100
101389052094976
114961037711a7
121a525a8a0000
13a0caa71c370
144b33261a480
15261ebe61186
hex14369f4ea00

1389052094976 has 1200 divisors, whose sum is σ = 5286393649152. Its totient is φ = 353600225280.

The previous prime is 1389052094951. The next prime is 1389052095023. The reversal of 1389052094976 is 6794902509831.

1389052094976 is a `hidden beast` number, since 1 + 3 + 8 + 90 + 52 + 0 + 9 + 497 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3626767681 + ... + 3626768063.

It is a 1-persistent number, because it is pandigital, but 2⋅1389052094976 = 2778104189952 is not.

Almost surely, 21389052094976 is an apocalyptic number.

1389052094976 is a gapful number since it is divisible by the number (16) 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 1389052094976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643196824576).

1389052094976 is an abundant number, since it is smaller than the sum of its proper divisors (3897341554176).

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

1389052094976 is an equidigital number, since it uses as much as digits as its factorization.

1389052094976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1389052094976 in words is "one trillion, three hundred eighty-nine billion, fifty-two million, ninety-four thousand, nine hundred seventy-six".