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1389132251136 = 218327192233
BaseRepresentation
bin10100001101101110101…
…111000000000000000000
311220210121000101221200200
4110031232233000000000
5140224420324014021
62542054125045200
7202234664212020
oct24155657000000
94823530357620
101389132251136
11496144a39763
121a52816b6800
13a0cc1205846
144b33d123a80
1526203ee6126
hex1436ebc0000

1389132251136 has 684 divisors, whose sum is σ = 4861197452592. Its totient is φ = 374391963648.

The previous prime is 1389132251123. The next prime is 1389132251147. The reversal of 1389132251136 is 6311522319831.

1389132251136 is a `hidden beast` number, since 1 + 3 + 89 + 1 + 3 + 22 + 511 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (684).

It is a super-2 number, since 2×13891322511362 (a number of 25 digits) contains 22 as substring.

Its product of digits (233280) is a multiple of the sum of its prime factors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1389132251091 and 1389132251100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5961940876 + ... + 5961941108.

Almost surely, 21389132251136 is an apocalyptic number.

1389132251136 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 1389132251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430598726296).

1389132251136 is an abundant number, since it is smaller than the sum of its proper divisors (3472065201456).

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

1389132251136 is an frugal number, since it uses more digits than its factorization.

1389132251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 264 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 1389132251136 in words is "one trillion, three hundred eighty-nine billion, one hundred thirty-two million, two hundred fifty-one thousand, one hundred thirty-six".